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Question
What is the quotient and remainder when $ 5150000 $ is divided by $ 10515 $ ?
Answer
The quotient is 489 and the remainder is 8165.
Explanation
|
Division Table
|
| | | | | | 0 | 0 | 0 | 0 | 4 | 8 | 9 |
| 1 | 0 | 5 | 1 | 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 | | |
| | | | | – | 4 | 2 | 0 | 6 | 0 | | |
| | | | | | | 9 | 4 | 4 | 0 | 0 | |
| | | | | | – | 8 | 4 | 1 | 2 | 0 | |
| | | | | | | 1 | 0 | 2 | 8 | 0 | 0 |
| | | | | | | – | 9 | 4 | 6 | 3 | 5 |
| | | | | | | | | 8 | 1 | 6 | 5 |
STEP 0:
set up a division table
|
| | | | | | | | | | | | |
| 1 | 0 | 5 | 1 | 5 | 5 | 1 | 5 | 0 | 0 | 0 | 0 |
STEP 1: DIVIDE
5 : 10515 = 0 with a remainder of 5
|
| | | | | | 0 | | | | | | |
| 1 | 0 | 5 | 1 | 5 | 5 | 1 | 5 | 0 | 0 | 0 | 0 |
STEP 2: MULTIPLY
0 · 10515 = 0
|
| | | | | | 0 | | | | | | |
| 1 | 0 | 5 | 1 | 5 | 5 | 1 | 5 | 0 | 0 | 0 | 0 |
| | | | | | 0 | | | | | | |
STEP 3: SUBTRACT
5 - 0 = 5
|
| | | | | | 0 | | | | | | |
| 1 | 0 | 5 | 1 | 5 | 5 | 1 | 5 | 0 | 0 | 0 | 0 |
| | | | | – | 0 | | | | | | |
| | | | | | 5 | | | | | | |
|
STEP 4: BRING DOWN
|
| | | | | | 0 | | | | | | |
| 1 | 0 | 5 | 1 | 5 | 5 | 1 | 5 | 0 | 0 | 0 | 0 |
| | | | | – | 0 | | | | | | |
| | | | | | 5 | 1 | | | | | |
STEP 5: DIVIDE
51 : 10515 = 0 with a remainder of 51
|
| | | | | | 0 | 0 | | | | | |
| 1 | 0 | 5 | 1 | 5 | 5 | 1 | 5 | 0 | 0 | 0 | 0 |
| | | | | – | 0 | | | | | | |
| | | | | | 5 | 1 | | | | | |
STEP 6: MULTIPLY
0 · 10515 = 0
|
| | | | | | 0 | 0 | | | | | |
| 1 | 0 | 5 | 1 | 5 | 5 | 1 | 5 | 0 | 0 | 0 | 0 |
| | | | | – | 0 | | | | | | |
| | | | | | 5 | 1 | | | | | |
| | | | | | | 0 | | | | | |
STEP 7: SUBTRACT
51 - 0 = 51
|
| | | | | | 0 | 0 | | | | | |
| 1 | 0 | 5 | 1 | 5 | 5 | 1 | 5 | 0 | 0 | 0 | 0 |
| | | | | – | 0 | | | | | | |
| | | | | | 5 | 1 | | | | | |
| | | | | | – | 0 | | | | | |
| | | | | | 5 | 1 | | | | | |
|
STEP 8: BRING DOWN
|
| | | | | | 0 | 0 | | | | | |
| 1 | 0 | 5 | 1 | 5 | 5 | 1 | 5 | 0 | 0 | 0 | 0 |
| | | | | – | 0 | | | | | | |
| | | | | | 5 | 1 | | | | | |
| | | | | | – | 0 | | | | | |
| | | | | | 5 | 1 | 5 | | | | |
STEP 9: DIVIDE
515 : 10515 = 0 with a remainder of 515
|
| | | | | | 0 | 0 | 0 | | | | |
| 1 | 0 | 5 | 1 | 5 | 5 | 1 | 5 | 0 | 0 | 0 | 0 |
| | | | | – | 0 | | | | | | |
| | | | | | 5 | 1 | | | | | |
| | | | | | – | 0 | | | | | |
| | | | | | 5 | 1 | 5 | | | | |
STEP 10: MULTIPLY
0 · 10515 = 0
|
| | | | | | 0 | 0 | 0 | | | | |
| 1 | 0 | 5 | 1 | 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 | 0 | 5 | 1 | 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 | 0 | 5 | 1 | 5 | 5 | 1 | 5 | 0 | 0 | 0 | 0 |
| | | | | – | 0 | | | | | | |
| | | | | | 5 | 1 | | | | | |
| | | | | | – | 0 | | | | | |
| | | | | | 5 | 1 | 5 | | | | |
| | | | | | | – | 0 | | | | |
| | | | | | 5 | 1 | 5 | 0 | | | |
STEP 13: DIVIDE
5150 : 10515 = 0 with a remainder of 5150
|
| | | | | | 0 | 0 | 0 | 0 | | | |
| 1 | 0 | 5 | 1 | 5 | 5 | 1 | 5 | 0 | 0 | 0 | 0 |
| | | | | – | 0 | | | | | | |
| | | | | | 5 | 1 | | | | | |
| | | | | | – | 0 | | | | | |
| | | | | | 5 | 1 | 5 | | | | |
| | | | | | | – | 0 | | | | |
| | | | | | 5 | 1 | 5 | 0 | | | |
STEP 14: MULTIPLY
0 · 10515 = 0
|
| | | | | | 0 | 0 | 0 | 0 | | | |
| 1 | 0 | 5 | 1 | 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 | 0 | 5 | 1 | 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 | 0 | 5 | 1 | 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 : 10515 = 4 with a remainder of 9440
|
| | | | | | 0 | 0 | 0 | 0 | 4 | | |
| 1 | 0 | 5 | 1 | 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
4 · 10515 = 42060
|
| | | | | | 0 | 0 | 0 | 0 | 4 | | |
| 1 | 0 | 5 | 1 | 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 | | |
| | | | | | 4 | 2 | 0 | 6 | 0 | | |
STEP 19: SUBTRACT
51500 - 42060 = 9440
|
| | | | | | 0 | 0 | 0 | 0 | 4 | | |
| 1 | 0 | 5 | 1 | 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 | | |
| | | | | – | 4 | 2 | 0 | 6 | 0 | | |
| | | | | | | 9 | 4 | 4 | 0 | | |
|
STEP 20: BRING DOWN
|
| | | | | | 0 | 0 | 0 | 0 | 4 | | |
| 1 | 0 | 5 | 1 | 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 | | |
| | | | | – | 4 | 2 | 0 | 6 | 0 | | |
| | | | | | | 9 | 4 | 4 | 0 | 0 | |
STEP 21: DIVIDE
94400 : 10515 = 8 with a remainder of 10280
|
| | | | | | 0 | 0 | 0 | 0 | 4 | 8 | |
| 1 | 0 | 5 | 1 | 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 | | |
| | | | | – | 4 | 2 | 0 | 6 | 0 | | |
| | | | | | | 9 | 4 | 4 | 0 | 0 | |
STEP 22: MULTIPLY
8 · 10515 = 84120
|
| | | | | | 0 | 0 | 0 | 0 | 4 | 8 | |
| 1 | 0 | 5 | 1 | 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 | | |
| | | | | – | 4 | 2 | 0 | 6 | 0 | | |
| | | | | | | 9 | 4 | 4 | 0 | 0 | |
| | | | | | | 8 | 4 | 1 | 2 | 0 | |
STEP 23: SUBTRACT
94400 - 84120 = 10280
|
| | | | | | 0 | 0 | 0 | 0 | 4 | 8 | |
| 1 | 0 | 5 | 1 | 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 | | |
| | | | | – | 4 | 2 | 0 | 6 | 0 | | |
| | | | | | | 9 | 4 | 4 | 0 | 0 | |
| | | | | | – | 8 | 4 | 1 | 2 | 0 | |
| | | | | | | 1 | 0 | 2 | 8 | 0 | |
|
STEP 24: BRING DOWN
|
| | | | | | 0 | 0 | 0 | 0 | 4 | 8 | |
| 1 | 0 | 5 | 1 | 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 | | |
| | | | | – | 4 | 2 | 0 | 6 | 0 | | |
| | | | | | | 9 | 4 | 4 | 0 | 0 | |
| | | | | | – | 8 | 4 | 1 | 2 | 0 | |
| | | | | | | 1 | 0 | 2 | 8 | 0 | 0 |
STEP 25: DIVIDE
102800 : 10515 = 9 with a remainder of 8165
|
| | | | | | 0 | 0 | 0 | 0 | 4 | 8 | 9 |
| 1 | 0 | 5 | 1 | 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 | | |
| | | | | – | 4 | 2 | 0 | 6 | 0 | | |
| | | | | | | 9 | 4 | 4 | 0 | 0 | |
| | | | | | – | 8 | 4 | 1 | 2 | 0 | |
| | | | | | | 1 | 0 | 2 | 8 | 0 | 0 |
STEP 26: MULTIPLY
9 · 10515 = 94635
|
| | | | | | 0 | 0 | 0 | 0 | 4 | 8 | 9 |
| 1 | 0 | 5 | 1 | 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 | | |
| | | | | – | 4 | 2 | 0 | 6 | 0 | | |
| | | | | | | 9 | 4 | 4 | 0 | 0 | |
| | | | | | – | 8 | 4 | 1 | 2 | 0 | |
| | | | | | | 1 | 0 | 2 | 8 | 0 | 0 |
| | | | | | | | 9 | 4 | 6 | 3 | 5 |
STEP 27: SUBTRACT
102800 - 94635 = 8165
|
| | | | | | 0 | 0 | 0 | 0 | 4 | 8 | 9 |
| 1 | 0 | 5 | 1 | 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 | | |
| | | | | – | 4 | 2 | 0 | 6 | 0 | | |
| | | | | | | 9 | 4 | 4 | 0 | 0 | |
| | | | | | – | 8 | 4 | 1 | 2 | 0 | |
| | | | | | | 1 | 0 | 2 | 8 | 0 | 0 |
| | | | | | | – | 9 | 4 | 6 | 3 | 5 |
| | | | | | | | | 8 | 1 | 6 | 5 |
STEP 27: SUBTRACT
102800 - 94635 = 8165
|
| | | | | | 0 | 0 | 0 | 0 | 4 | 8 | 9 |
| 1 | 0 | 5 | 1 | 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 | | |
| | | | | – | 4 | 2 | 0 | 6 | 0 | | |
| | | | | | | 9 | 4 | 4 | 0 | 0 | |
| | | | | | – | 8 | 4 | 1 | 2 | 0 | |
| | | | | | | 1 | 0 | 2 | 8 | 0 | 0 |
| | | | | | | – | 9 | 4 | 6 | 3 | 5 |
| | | | | | | | | 8 | 1 | 6 | 5 |
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