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Question
What is the quotient and remainder when $ 50000 $ is divided by $ 72 $ ?
Answer
The quotient is 694 and the remainder is 32.
Explanation
|
Division Table
|
| | | 0 | 0 | 6 | 9 | 4 |
| 7 | 2 | 5 | 0 | 0 | 0 | 0 |
| | – | 0 | | | | |
| | | 5 | 0 | | | |
| | | – | 0 | | | |
| | | 5 | 0 | 0 | | |
| | – | 4 | 3 | 2 | | |
| | | | 6 | 8 | 0 | |
| | | – | 6 | 4 | 8 | |
| | | | | 3 | 2 | 0 |
| | | | – | 2 | 8 | 8 |
| | | | | | 3 | 2 |
STEP 0: set up a division table
|
| | | | | | | |
| 7 | 2 | 5 | 0 | 0 | 0 | 0 |
STEP 1: DIVIDE 5 : 72 = 0 with a remainder of 5
|
| | | 0 | | | | |
| 7 | 2 | 5 | 0 | 0 | 0 | 0 |
STEP 2: MULTIPLY 0 · 72 = 0
|
| | | 0 | | | | |
| 7 | 2 | 5 | 0 | 0 | 0 | 0 |
| | | 0 | | | | |
STEP 3: SUBTRACT 5 - 0 = 5
|
| | | 0 | | | | |
| 7 | 2 | 5 | 0 | 0 | 0 | 0 |
| | – | 0 | | | | |
| | | 5 | | | | |
|
STEP 4: BRING DOWN
|
| | | 0 | | | | |
| 7 | 2 | 5 | 0 | 0 | 0 | 0 |
| | – | 0 | | | | |
| | | 5 | 0 | | | |
STEP 5: DIVIDE 50 : 72 = 0 with a remainder of 50
|
| | | 0 | 0 | | | |
| 7 | 2 | 5 | 0 | 0 | 0 | 0 |
| | – | 0 | | | | |
| | | 5 | 0 | | | |
STEP 6: MULTIPLY 0 · 72 = 0
|
| | | 0 | 0 | | | |
| 7 | 2 | 5 | 0 | 0 | 0 | 0 |
| | – | 0 | | | | |
| | | 5 | 0 | | | |
| | | | 0 | | | |
STEP 7: SUBTRACT 50 - 0 = 50
|
| | | 0 | 0 | | | |
| 7 | 2 | 5 | 0 | 0 | 0 | 0 |
| | – | 0 | | | | |
| | | 5 | 0 | | | |
| | | – | 0 | | | |
| | | 5 | 0 | | | |
|
STEP 8: BRING DOWN
|
| | | 0 | 0 | | | |
| 7 | 2 | 5 | 0 | 0 | 0 | 0 |
| | – | 0 | | | | |
| | | 5 | 0 | | | |
| | | – | 0 | | | |
| | | 5 | 0 | 0 | | |
STEP 9: DIVIDE 500 : 72 = 6 with a remainder of 68
|
| | | 0 | 0 | 6 | | |
| 7 | 2 | 5 | 0 | 0 | 0 | 0 |
| | – | 0 | | | | |
| | | 5 | 0 | | | |
| | | – | 0 | | | |
| | | 5 | 0 | 0 | | |
STEP 10: MULTIPLY 6 · 72 = 432
|
| | | 0 | 0 | 6 | | |
| 7 | 2 | 5 | 0 | 0 | 0 | 0 |
| | – | 0 | | | | |
| | | 5 | 0 | | | |
| | | – | 0 | | | |
| | | 5 | 0 | 0 | | |
| | | 4 | 3 | 2 | | |
STEP 11: SUBTRACT 500 - 432 = 68
|
| | | 0 | 0 | 6 | | |
| 7 | 2 | 5 | 0 | 0 | 0 | 0 |
| | – | 0 | | | | |
| | | 5 | 0 | | | |
| | | – | 0 | | | |
| | | 5 | 0 | 0 | | |
| | – | 4 | 3 | 2 | | |
| | | | 6 | 8 | | |
|
STEP 12: BRING DOWN
|
| | | 0 | 0 | 6 | | |
| 7 | 2 | 5 | 0 | 0 | 0 | 0 |
| | – | 0 | | | | |
| | | 5 | 0 | | | |
| | | – | 0 | | | |
| | | 5 | 0 | 0 | | |
| | – | 4 | 3 | 2 | | |
| | | | 6 | 8 | 0 | |
STEP 13: DIVIDE 680 : 72 = 9 with a remainder of 32
|
| | | 0 | 0 | 6 | 9 | |
| 7 | 2 | 5 | 0 | 0 | 0 | 0 |
| | – | 0 | | | | |
| | | 5 | 0 | | | |
| | | – | 0 | | | |
| | | 5 | 0 | 0 | | |
| | – | 4 | 3 | 2 | | |
| | | | 6 | 8 | 0 | |
STEP 14: MULTIPLY 9 · 72 = 648
|
| | | 0 | 0 | 6 | 9 | |
| 7 | 2 | 5 | 0 | 0 | 0 | 0 |
| | – | 0 | | | | |
| | | 5 | 0 | | | |
| | | – | 0 | | | |
| | | 5 | 0 | 0 | | |
| | – | 4 | 3 | 2 | | |
| | | | 6 | 8 | 0 | |
| | | | 6 | 4 | 8 | |
STEP 15: SUBTRACT 680 - 648 = 32
|
| | | 0 | 0 | 6 | 9 | |
| 7 | 2 | 5 | 0 | 0 | 0 | 0 |
| | – | 0 | | | | |
| | | 5 | 0 | | | |
| | | – | 0 | | | |
| | | 5 | 0 | 0 | | |
| | – | 4 | 3 | 2 | | |
| | | | 6 | 8 | 0 | |
| | | – | 6 | 4 | 8 | |
| | | | | 3 | 2 | |
|
STEP 16: BRING DOWN
|
| | | 0 | 0 | 6 | 9 | |
| 7 | 2 | 5 | 0 | 0 | 0 | 0 |
| | – | 0 | | | | |
| | | 5 | 0 | | | |
| | | – | 0 | | | |
| | | 5 | 0 | 0 | | |
| | – | 4 | 3 | 2 | | |
| | | | 6 | 8 | 0 | |
| | | – | 6 | 4 | 8 | |
| | | | | 3 | 2 | 0 |
STEP 17: DIVIDE 320 : 72 = 4 with a remainder of 32
|
| | | 0 | 0 | 6 | 9 | 4 |
| 7 | 2 | 5 | 0 | 0 | 0 | 0 |
| | – | 0 | | | | |
| | | 5 | 0 | | | |
| | | – | 0 | | | |
| | | 5 | 0 | 0 | | |
| | – | 4 | 3 | 2 | | |
| | | | 6 | 8 | 0 | |
| | | – | 6 | 4 | 8 | |
| | | | | 3 | 2 | 0 |
STEP 18: MULTIPLY 4 · 72 = 288
|
| | | 0 | 0 | 6 | 9 | 4 |
| 7 | 2 | 5 | 0 | 0 | 0 | 0 |
| | – | 0 | | | | |
| | | 5 | 0 | | | |
| | | – | 0 | | | |
| | | 5 | 0 | 0 | | |
| | – | 4 | 3 | 2 | | |
| | | | 6 | 8 | 0 | |
| | | – | 6 | 4 | 8 | |
| | | | | 3 | 2 | 0 |
| | | | | 2 | 8 | 8 |
STEP 19: SUBTRACT 320 - 288 = 32
|
| | | 0 | 0 | 6 | 9 | 4 |
| 7 | 2 | 5 | 0 | 0 | 0 | 0 |
| | – | 0 | | | | |
| | | 5 | 0 | | | |
| | | – | 0 | | | |
| | | 5 | 0 | 0 | | |
| | – | 4 | 3 | 2 | | |
| | | | 6 | 8 | 0 | |
| | | – | 6 | 4 | 8 | |
| | | | | 3 | 2 | 0 |
| | | | – | 2 | 8 | 8 |
| | | | | | 3 | 2 |
STEP 19: SUBTRACT 320 - 288 = 32
|
| | | 0 | 0 | 6 | 9 | 4 |
| 7 | 2 | 5 | 0 | 0 | 0 | 0 |
| | – | 0 | | | | |
| | | 5 | 0 | | | |
| | | – | 0 | | | |
| | | 5 | 0 | 0 | | |
| | – | 4 | 3 | 2 | | |
| | | | 6 | 8 | 0 | |
| | | – | 6 | 4 | 8 | |
| | | | | 3 | 2 | 0 |
| | | | – | 2 | 8 | 8 |
| | | | | | 3 | 2 |
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