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Question
What is the quotient and remainder when $ 5150000 $ is divided by $ 112875 $ ?
Answer
The quotient is 45 and the remainder is 70625.
Explanation
|
Division Table
|
| | | | | | | 0 | 0 | 0 | 0 | 0 | 4 | 5 |
| 1 | 1 | 2 | 8 | 7 | 5 | 5 | 1 | 5 | 0 | 0 | 0 | 0 |
| | | | | | – | 0 | | | | | | |
| | | | | | | 5 | 1 | | | | | |
| | | | | | | – | 0 | | | | | |
| | | | | | | 5 | 1 | 5 | | | | |
| | | | | | | | – | 0 | | | | |
| | | | | | | 5 | 1 | 5 | 0 | | | |
| | | | | | | | | – | 0 | | | |
| | | | | | | 5 | 1 | 5 | 0 | 0 | | |
| | | | | | | | | | – | 0 | | |
| | | | | | | 5 | 1 | 5 | 0 | 0 | 0 | |
| | | | | | – | 4 | 5 | 1 | 5 | 0 | 0 | |
| | | | | | | | 6 | 3 | 5 | 0 | 0 | 0 |
| | | | | | | – | 5 | 6 | 4 | 3 | 7 | 5 |
| | | | | | | | | 7 | 0 | 6 | 2 | 5 |
STEP 0:
set up a division table
|
| | | | | | | | | | | | | |
| 1 | 1 | 2 | 8 | 7 | 5 | 5 | 1 | 5 | 0 | 0 | 0 | 0 |
STEP 1: DIVIDE
5 : 112875 = 0 with a remainder of 5
|
| | | | | | | 0 | | | | | | |
| 1 | 1 | 2 | 8 | 7 | 5 | 5 | 1 | 5 | 0 | 0 | 0 | 0 |
STEP 2: MULTIPLY
0 · 112875 = 0
|
| | | | | | | 0 | | | | | | |
| 1 | 1 | 2 | 8 | 7 | 5 | 5 | 1 | 5 | 0 | 0 | 0 | 0 |
| | | | | | | 0 | | | | | | |
STEP 3: SUBTRACT
5 - 0 = 5
|
| | | | | | | 0 | | | | | | |
| 1 | 1 | 2 | 8 | 7 | 5 | 5 | 1 | 5 | 0 | 0 | 0 | 0 |
| | | | | | – | 0 | | | | | | |
| | | | | | | 5 | | | | | | |
|
STEP 4: BRING DOWN
|
| | | | | | | 0 | | | | | | |
| 1 | 1 | 2 | 8 | 7 | 5 | 5 | 1 | 5 | 0 | 0 | 0 | 0 |
| | | | | | – | 0 | | | | | | |
| | | | | | | 5 | 1 | | | | | |
STEP 5: DIVIDE
51 : 112875 = 0 with a remainder of 51
|
| | | | | | | 0 | 0 | | | | | |
| 1 | 1 | 2 | 8 | 7 | 5 | 5 | 1 | 5 | 0 | 0 | 0 | 0 |
| | | | | | – | 0 | | | | | | |
| | | | | | | 5 | 1 | | | | | |
STEP 6: MULTIPLY
0 · 112875 = 0
|
| | | | | | | 0 | 0 | | | | | |
| 1 | 1 | 2 | 8 | 7 | 5 | 5 | 1 | 5 | 0 | 0 | 0 | 0 |
| | | | | | – | 0 | | | | | | |
| | | | | | | 5 | 1 | | | | | |
| | | | | | | | 0 | | | | | |
STEP 7: SUBTRACT
51 - 0 = 51
|
| | | | | | | 0 | 0 | | | | | |
| 1 | 1 | 2 | 8 | 7 | 5 | 5 | 1 | 5 | 0 | 0 | 0 | 0 |
| | | | | | – | 0 | | | | | | |
| | | | | | | 5 | 1 | | | | | |
| | | | | | | – | 0 | | | | | |
| | | | | | | 5 | 1 | | | | | |
|
STEP 8: BRING DOWN
|
| | | | | | | 0 | 0 | | | | | |
| 1 | 1 | 2 | 8 | 7 | 5 | 5 | 1 | 5 | 0 | 0 | 0 | 0 |
| | | | | | – | 0 | | | | | | |
| | | | | | | 5 | 1 | | | | | |
| | | | | | | – | 0 | | | | | |
| | | | | | | 5 | 1 | 5 | | | | |
STEP 9: DIVIDE
515 : 112875 = 0 with a remainder of 515
|
| | | | | | | 0 | 0 | 0 | | | | |
| 1 | 1 | 2 | 8 | 7 | 5 | 5 | 1 | 5 | 0 | 0 | 0 | 0 |
| | | | | | – | 0 | | | | | | |
| | | | | | | 5 | 1 | | | | | |
| | | | | | | – | 0 | | | | | |
| | | | | | | 5 | 1 | 5 | | | | |
STEP 10: MULTIPLY
0 · 112875 = 0
|
| | | | | | | 0 | 0 | 0 | | | | |
| 1 | 1 | 2 | 8 | 7 | 5 | 5 | 1 | 5 | 0 | 0 | 0 | 0 |
| | | | | | – | 0 | | | | | | |
| | | | | | | 5 | 1 | | | | | |
| | | | | | | – | 0 | | | | | |
| | | | | | | 5 | 1 | 5 | | | | |
| | | | | | | | | 0 | | | | |
STEP 11: SUBTRACT
515 - 0 = 515
|
| | | | | | | 0 | 0 | 0 | | | | |
| 1 | 1 | 2 | 8 | 7 | 5 | 5 | 1 | 5 | 0 | 0 | 0 | 0 |
| | | | | | – | 0 | | | | | | |
| | | | | | | 5 | 1 | | | | | |
| | | | | | | – | 0 | | | | | |
| | | | | | | 5 | 1 | 5 | | | | |
| | | | | | | | – | 0 | | | | |
| | | | | | | 5 | 1 | 5 | | | | |
|
STEP 12: BRING DOWN
|
| | | | | | | 0 | 0 | 0 | | | | |
| 1 | 1 | 2 | 8 | 7 | 5 | 5 | 1 | 5 | 0 | 0 | 0 | 0 |
| | | | | | – | 0 | | | | | | |
| | | | | | | 5 | 1 | | | | | |
| | | | | | | – | 0 | | | | | |
| | | | | | | 5 | 1 | 5 | | | | |
| | | | | | | | – | 0 | | | | |
| | | | | | | 5 | 1 | 5 | 0 | | | |
STEP 13: DIVIDE
5150 : 112875 = 0 with a remainder of 5150
|
| | | | | | | 0 | 0 | 0 | 0 | | | |
| 1 | 1 | 2 | 8 | 7 | 5 | 5 | 1 | 5 | 0 | 0 | 0 | 0 |
| | | | | | – | 0 | | | | | | |
| | | | | | | 5 | 1 | | | | | |
| | | | | | | – | 0 | | | | | |
| | | | | | | 5 | 1 | 5 | | | | |
| | | | | | | | – | 0 | | | | |
| | | | | | | 5 | 1 | 5 | 0 | | | |
STEP 14: MULTIPLY
0 · 112875 = 0
|
| | | | | | | 0 | 0 | 0 | 0 | | | |
| 1 | 1 | 2 | 8 | 7 | 5 | 5 | 1 | 5 | 0 | 0 | 0 | 0 |
| | | | | | – | 0 | | | | | | |
| | | | | | | 5 | 1 | | | | | |
| | | | | | | – | 0 | | | | | |
| | | | | | | 5 | 1 | 5 | | | | |
| | | | | | | | – | 0 | | | | |
| | | | | | | 5 | 1 | 5 | 0 | | | |
| | | | | | | | | | 0 | | | |
STEP 15: SUBTRACT
5150 - 0 = 5150
|
| | | | | | | 0 | 0 | 0 | 0 | | | |
| 1 | 1 | 2 | 8 | 7 | 5 | 5 | 1 | 5 | 0 | 0 | 0 | 0 |
| | | | | | – | 0 | | | | | | |
| | | | | | | 5 | 1 | | | | | |
| | | | | | | – | 0 | | | | | |
| | | | | | | 5 | 1 | 5 | | | | |
| | | | | | | | – | 0 | | | | |
| | | | | | | 5 | 1 | 5 | 0 | | | |
| | | | | | | | | – | 0 | | | |
| | | | | | | 5 | 1 | 5 | 0 | | | |
|
STEP 16: BRING DOWN
|
| | | | | | | 0 | 0 | 0 | 0 | | | |
| 1 | 1 | 2 | 8 | 7 | 5 | 5 | 1 | 5 | 0 | 0 | 0 | 0 |
| | | | | | – | 0 | | | | | | |
| | | | | | | 5 | 1 | | | | | |
| | | | | | | – | 0 | | | | | |
| | | | | | | 5 | 1 | 5 | | | | |
| | | | | | | | – | 0 | | | | |
| | | | | | | 5 | 1 | 5 | 0 | | | |
| | | | | | | | | – | 0 | | | |
| | | | | | | 5 | 1 | 5 | 0 | 0 | | |
STEP 17: DIVIDE
51500 : 112875 = 0 with a remainder of 51500
|
| | | | | | | 0 | 0 | 0 | 0 | 0 | | |
| 1 | 1 | 2 | 8 | 7 | 5 | 5 | 1 | 5 | 0 | 0 | 0 | 0 |
| | | | | | – | 0 | | | | | | |
| | | | | | | 5 | 1 | | | | | |
| | | | | | | – | 0 | | | | | |
| | | | | | | 5 | 1 | 5 | | | | |
| | | | | | | | – | 0 | | | | |
| | | | | | | 5 | 1 | 5 | 0 | | | |
| | | | | | | | | – | 0 | | | |
| | | | | | | 5 | 1 | 5 | 0 | 0 | | |
STEP 18: MULTIPLY
0 · 112875 = 0
|
| | | | | | | 0 | 0 | 0 | 0 | 0 | | |
| 1 | 1 | 2 | 8 | 7 | 5 | 5 | 1 | 5 | 0 | 0 | 0 | 0 |
| | | | | | – | 0 | | | | | | |
| | | | | | | 5 | 1 | | | | | |
| | | | | | | – | 0 | | | | | |
| | | | | | | 5 | 1 | 5 | | | | |
| | | | | | | | – | 0 | | | | |
| | | | | | | 5 | 1 | 5 | 0 | | | |
| | | | | | | | | – | 0 | | | |
| | | | | | | 5 | 1 | 5 | 0 | 0 | | |
| | | | | | | | | | | 0 | | |
STEP 19: SUBTRACT
51500 - 0 = 51500
|
| | | | | | | 0 | 0 | 0 | 0 | 0 | | |
| 1 | 1 | 2 | 8 | 7 | 5 | 5 | 1 | 5 | 0 | 0 | 0 | 0 |
| | | | | | – | 0 | | | | | | |
| | | | | | | 5 | 1 | | | | | |
| | | | | | | – | 0 | | | | | |
| | | | | | | 5 | 1 | 5 | | | | |
| | | | | | | | – | 0 | | | | |
| | | | | | | 5 | 1 | 5 | 0 | | | |
| | | | | | | | | – | 0 | | | |
| | | | | | | 5 | 1 | 5 | 0 | 0 | | |
| | | | | | | | | | – | 0 | | |
| | | | | | | 5 | 1 | 5 | 0 | 0 | | |
|
STEP 20: BRING DOWN
|
| | | | | | | 0 | 0 | 0 | 0 | 0 | | |
| 1 | 1 | 2 | 8 | 7 | 5 | 5 | 1 | 5 | 0 | 0 | 0 | 0 |
| | | | | | – | 0 | | | | | | |
| | | | | | | 5 | 1 | | | | | |
| | | | | | | – | 0 | | | | | |
| | | | | | | 5 | 1 | 5 | | | | |
| | | | | | | | – | 0 | | | | |
| | | | | | | 5 | 1 | 5 | 0 | | | |
| | | | | | | | | – | 0 | | | |
| | | | | | | 5 | 1 | 5 | 0 | 0 | | |
| | | | | | | | | | – | 0 | | |
| | | | | | | 5 | 1 | 5 | 0 | 0 | 0 | |
STEP 21: DIVIDE
515000 : 112875 = 4 with a remainder of 63500
|
| | | | | | | 0 | 0 | 0 | 0 | 0 | 4 | |
| 1 | 1 | 2 | 8 | 7 | 5 | 5 | 1 | 5 | 0 | 0 | 0 | 0 |
| | | | | | – | 0 | | | | | | |
| | | | | | | 5 | 1 | | | | | |
| | | | | | | – | 0 | | | | | |
| | | | | | | 5 | 1 | 5 | | | | |
| | | | | | | | – | 0 | | | | |
| | | | | | | 5 | 1 | 5 | 0 | | | |
| | | | | | | | | – | 0 | | | |
| | | | | | | 5 | 1 | 5 | 0 | 0 | | |
| | | | | | | | | | – | 0 | | |
| | | | | | | 5 | 1 | 5 | 0 | 0 | 0 | |
STEP 22: MULTIPLY
4 · 112875 = 451500
|
| | | | | | | 0 | 0 | 0 | 0 | 0 | 4 | |
| 1 | 1 | 2 | 8 | 7 | 5 | 5 | 1 | 5 | 0 | 0 | 0 | 0 |
| | | | | | – | 0 | | | | | | |
| | | | | | | 5 | 1 | | | | | |
| | | | | | | – | 0 | | | | | |
| | | | | | | 5 | 1 | 5 | | | | |
| | | | | | | | – | 0 | | | | |
| | | | | | | 5 | 1 | 5 | 0 | | | |
| | | | | | | | | – | 0 | | | |
| | | | | | | 5 | 1 | 5 | 0 | 0 | | |
| | | | | | | | | | – | 0 | | |
| | | | | | | 5 | 1 | 5 | 0 | 0 | 0 | |
| | | | | | | 4 | 5 | 1 | 5 | 0 | 0 | |
STEP 23: SUBTRACT
515000 - 451500 = 63500
|
| | | | | | | 0 | 0 | 0 | 0 | 0 | 4 | |
| 1 | 1 | 2 | 8 | 7 | 5 | 5 | 1 | 5 | 0 | 0 | 0 | 0 |
| | | | | | – | 0 | | | | | | |
| | | | | | | 5 | 1 | | | | | |
| | | | | | | – | 0 | | | | | |
| | | | | | | 5 | 1 | 5 | | | | |
| | | | | | | | – | 0 | | | | |
| | | | | | | 5 | 1 | 5 | 0 | | | |
| | | | | | | | | – | 0 | | | |
| | | | | | | 5 | 1 | 5 | 0 | 0 | | |
| | | | | | | | | | – | 0 | | |
| | | | | | | 5 | 1 | 5 | 0 | 0 | 0 | |
| | | | | | – | 4 | 5 | 1 | 5 | 0 | 0 | |
| | | | | | | | 6 | 3 | 5 | 0 | 0 | |
|
STEP 24: BRING DOWN
|
| | | | | | | 0 | 0 | 0 | 0 | 0 | 4 | |
| 1 | 1 | 2 | 8 | 7 | 5 | 5 | 1 | 5 | 0 | 0 | 0 | 0 |
| | | | | | – | 0 | | | | | | |
| | | | | | | 5 | 1 | | | | | |
| | | | | | | – | 0 | | | | | |
| | | | | | | 5 | 1 | 5 | | | | |
| | | | | | | | – | 0 | | | | |
| | | | | | | 5 | 1 | 5 | 0 | | | |
| | | | | | | | | – | 0 | | | |
| | | | | | | 5 | 1 | 5 | 0 | 0 | | |
| | | | | | | | | | – | 0 | | |
| | | | | | | 5 | 1 | 5 | 0 | 0 | 0 | |
| | | | | | – | 4 | 5 | 1 | 5 | 0 | 0 | |
| | | | | | | | 6 | 3 | 5 | 0 | 0 | 0 |
STEP 25: DIVIDE
635000 : 112875 = 5 with a remainder of 70625
|
| | | | | | | 0 | 0 | 0 | 0 | 0 | 4 | 5 |
| 1 | 1 | 2 | 8 | 7 | 5 | 5 | 1 | 5 | 0 | 0 | 0 | 0 |
| | | | | | – | 0 | | | | | | |
| | | | | | | 5 | 1 | | | | | |
| | | | | | | – | 0 | | | | | |
| | | | | | | 5 | 1 | 5 | | | | |
| | | | | | | | – | 0 | | | | |
| | | | | | | 5 | 1 | 5 | 0 | | | |
| | | | | | | | | – | 0 | | | |
| | | | | | | 5 | 1 | 5 | 0 | 0 | | |
| | | | | | | | | | – | 0 | | |
| | | | | | | 5 | 1 | 5 | 0 | 0 | 0 | |
| | | | | | – | 4 | 5 | 1 | 5 | 0 | 0 | |
| | | | | | | | 6 | 3 | 5 | 0 | 0 | 0 |
STEP 26: MULTIPLY
5 · 112875 = 564375
|
| | | | | | | 0 | 0 | 0 | 0 | 0 | 4 | 5 |
| 1 | 1 | 2 | 8 | 7 | 5 | 5 | 1 | 5 | 0 | 0 | 0 | 0 |
| | | | | | – | 0 | | | | | | |
| | | | | | | 5 | 1 | | | | | |
| | | | | | | – | 0 | | | | | |
| | | | | | | 5 | 1 | 5 | | | | |
| | | | | | | | – | 0 | | | | |
| | | | | | | 5 | 1 | 5 | 0 | | | |
| | | | | | | | | – | 0 | | | |
| | | | | | | 5 | 1 | 5 | 0 | 0 | | |
| | | | | | | | | | – | 0 | | |
| | | | | | | 5 | 1 | 5 | 0 | 0 | 0 | |
| | | | | | – | 4 | 5 | 1 | 5 | 0 | 0 | |
| | | | | | | | 6 | 3 | 5 | 0 | 0 | 0 |
| | | | | | | | 5 | 6 | 4 | 3 | 7 | 5 |
STEP 27: SUBTRACT
635000 - 564375 = 70625
|
| | | | | | | 0 | 0 | 0 | 0 | 0 | 4 | 5 |
| 1 | 1 | 2 | 8 | 7 | 5 | 5 | 1 | 5 | 0 | 0 | 0 | 0 |
| | | | | | – | 0 | | | | | | |
| | | | | | | 5 | 1 | | | | | |
| | | | | | | – | 0 | | | | | |
| | | | | | | 5 | 1 | 5 | | | | |
| | | | | | | | – | 0 | | | | |
| | | | | | | 5 | 1 | 5 | 0 | | | |
| | | | | | | | | – | 0 | | | |
| | | | | | | 5 | 1 | 5 | 0 | 0 | | |
| | | | | | | | | | – | 0 | | |
| | | | | | | 5 | 1 | 5 | 0 | 0 | 0 | |
| | | | | | – | 4 | 5 | 1 | 5 | 0 | 0 | |
| | | | | | | | 6 | 3 | 5 | 0 | 0 | 0 |
| | | | | | | – | 5 | 6 | 4 | 3 | 7 | 5 |
| | | | | | | | | 7 | 0 | 6 | 2 | 5 |
STEP 27: SUBTRACT
635000 - 564375 = 70625
|
| | | | | | | 0 | 0 | 0 | 0 | 0 | 4 | 5 |
| 1 | 1 | 2 | 8 | 7 | 5 | 5 | 1 | 5 | 0 | 0 | 0 | 0 |
| | | | | | – | 0 | | | | | | |
| | | | | | | 5 | 1 | | | | | |
| | | | | | | – | 0 | | | | | |
| | | | | | | 5 | 1 | 5 | | | | |
| | | | | | | | – | 0 | | | | |
| | | | | | | 5 | 1 | 5 | 0 | | | |
| | | | | | | | | – | 0 | | | |
| | | | | | | 5 | 1 | 5 | 0 | 0 | | |
| | | | | | | | | | – | 0 | | |
| | | | | | | 5 | 1 | 5 | 0 | 0 | 0 | |
| | | | | | – | 4 | 5 | 1 | 5 | 0 | 0 | |
| | | | | | | | 6 | 3 | 5 | 0 | 0 | 0 |
| | | | | | | – | 5 | 6 | 4 | 3 | 7 | 5 |
| | | | | | | | | 7 | 0 | 6 | 2 | 5 |
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