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Question
What is the quotient and remainder when $ 62032 $ is divided by $ 56 $ ?
Answer
The quotient is 1107 and the remainder is 40.
Explanation
|
Division Table
|
| | | 0 | 1 | 1 | 0 | 7 |
| 5 | 6 | 6 | 2 | 0 | 3 | 2 |
| | – | 0 | | | | |
| | | 6 | 2 | | | |
| | – | 5 | 6 | | | |
| | | | 6 | 0 | | |
| | | – | 5 | 6 | | |
| | | | | 4 | 3 | |
| | | | | – | 0 | |
| | | | | 4 | 3 | 2 |
| | | | – | 3 | 9 | 2 |
| | | | | | 4 | 0 |
STEP 0: set up a division table
|
| | | | | | | |
| 5 | 6 | 6 | 2 | 0 | 3 | 2 |
STEP 1: DIVIDE 6 : 56 = 0 with a remainder of 6
|
| | | 0 | | | | |
| 5 | 6 | 6 | 2 | 0 | 3 | 2 |
STEP 2: MULTIPLY 0 · 56 = 0
|
| | | 0 | | | | |
| 5 | 6 | 6 | 2 | 0 | 3 | 2 |
| | | 0 | | | | |
STEP 3: SUBTRACT 6 - 0 = 6
|
| | | 0 | | | | |
| 5 | 6 | 6 | 2 | 0 | 3 | 2 |
| | – | 0 | | | | |
| | | 6 | | | | |
|
STEP 4: BRING DOWN
|
| | | 0 | | | | |
| 5 | 6 | 6 | 2 | 0 | 3 | 2 |
| | – | 0 | | | | |
| | | 6 | 2 | | | |
STEP 5: DIVIDE 62 : 56 = 1 with a remainder of 6
|
| | | 0 | 1 | | | |
| 5 | 6 | 6 | 2 | 0 | 3 | 2 |
| | – | 0 | | | | |
| | | 6 | 2 | | | |
STEP 6: MULTIPLY 1 · 56 = 56
|
| | | 0 | 1 | | | |
| 5 | 6 | 6 | 2 | 0 | 3 | 2 |
| | – | 0 | | | | |
| | | 6 | 2 | | | |
| | | 5 | 6 | | | |
STEP 7: SUBTRACT 62 - 56 = 6
|
| | | 0 | 1 | | | |
| 5 | 6 | 6 | 2 | 0 | 3 | 2 |
| | – | 0 | | | | |
| | | 6 | 2 | | | |
| | – | 5 | 6 | | | |
| | | | 6 | | | |
|
STEP 8: BRING DOWN
|
| | | 0 | 1 | | | |
| 5 | 6 | 6 | 2 | 0 | 3 | 2 |
| | – | 0 | | | | |
| | | 6 | 2 | | | |
| | – | 5 | 6 | | | |
| | | | 6 | 0 | | |
STEP 9: DIVIDE 60 : 56 = 1 with a remainder of 4
|
| | | 0 | 1 | 1 | | |
| 5 | 6 | 6 | 2 | 0 | 3 | 2 |
| | – | 0 | | | | |
| | | 6 | 2 | | | |
| | – | 5 | 6 | | | |
| | | | 6 | 0 | | |
STEP 10: MULTIPLY 1 · 56 = 56
|
| | | 0 | 1 | 1 | | |
| 5 | 6 | 6 | 2 | 0 | 3 | 2 |
| | – | 0 | | | | |
| | | 6 | 2 | | | |
| | – | 5 | 6 | | | |
| | | | 6 | 0 | | |
| | | | 5 | 6 | | |
STEP 11: SUBTRACT 60 - 56 = 4
|
| | | 0 | 1 | 1 | | |
| 5 | 6 | 6 | 2 | 0 | 3 | 2 |
| | – | 0 | | | | |
| | | 6 | 2 | | | |
| | – | 5 | 6 | | | |
| | | | 6 | 0 | | |
| | | – | 5 | 6 | | |
| | | | | 4 | | |
|
STEP 12: BRING DOWN
|
| | | 0 | 1 | 1 | | |
| 5 | 6 | 6 | 2 | 0 | 3 | 2 |
| | – | 0 | | | | |
| | | 6 | 2 | | | |
| | – | 5 | 6 | | | |
| | | | 6 | 0 | | |
| | | – | 5 | 6 | | |
| | | | | 4 | 3 | |
STEP 13: DIVIDE 43 : 56 = 0 with a remainder of 43
|
| | | 0 | 1 | 1 | 0 | |
| 5 | 6 | 6 | 2 | 0 | 3 | 2 |
| | – | 0 | | | | |
| | | 6 | 2 | | | |
| | – | 5 | 6 | | | |
| | | | 6 | 0 | | |
| | | – | 5 | 6 | | |
| | | | | 4 | 3 | |
STEP 14: MULTIPLY 0 · 56 = 0
|
| | | 0 | 1 | 1 | 0 | |
| 5 | 6 | 6 | 2 | 0 | 3 | 2 |
| | – | 0 | | | | |
| | | 6 | 2 | | | |
| | – | 5 | 6 | | | |
| | | | 6 | 0 | | |
| | | – | 5 | 6 | | |
| | | | | 4 | 3 | |
| | | | | | 0 | |
STEP 15: SUBTRACT 43 - 0 = 43
|
| | | 0 | 1 | 1 | 0 | |
| 5 | 6 | 6 | 2 | 0 | 3 | 2 |
| | – | 0 | | | | |
| | | 6 | 2 | | | |
| | – | 5 | 6 | | | |
| | | | 6 | 0 | | |
| | | – | 5 | 6 | | |
| | | | | 4 | 3 | |
| | | | | – | 0 | |
| | | | | 4 | 3 | |
|
STEP 16: BRING DOWN
|
| | | 0 | 1 | 1 | 0 | |
| 5 | 6 | 6 | 2 | 0 | 3 | 2 |
| | – | 0 | | | | |
| | | 6 | 2 | | | |
| | – | 5 | 6 | | | |
| | | | 6 | 0 | | |
| | | – | 5 | 6 | | |
| | | | | 4 | 3 | |
| | | | | – | 0 | |
| | | | | 4 | 3 | 2 |
STEP 17: DIVIDE 432 : 56 = 7 with a remainder of 40
|
| | | 0 | 1 | 1 | 0 | 7 |
| 5 | 6 | 6 | 2 | 0 | 3 | 2 |
| | – | 0 | | | | |
| | | 6 | 2 | | | |
| | – | 5 | 6 | | | |
| | | | 6 | 0 | | |
| | | – | 5 | 6 | | |
| | | | | 4 | 3 | |
| | | | | – | 0 | |
| | | | | 4 | 3 | 2 |
STEP 18: MULTIPLY 7 · 56 = 392
|
| | | 0 | 1 | 1 | 0 | 7 |
| 5 | 6 | 6 | 2 | 0 | 3 | 2 |
| | – | 0 | | | | |
| | | 6 | 2 | | | |
| | – | 5 | 6 | | | |
| | | | 6 | 0 | | |
| | | – | 5 | 6 | | |
| | | | | 4 | 3 | |
| | | | | – | 0 | |
| | | | | 4 | 3 | 2 |
| | | | | 3 | 9 | 2 |
STEP 19: SUBTRACT 432 - 392 = 40
|
| | | 0 | 1 | 1 | 0 | 7 |
| 5 | 6 | 6 | 2 | 0 | 3 | 2 |
| | – | 0 | | | | |
| | | 6 | 2 | | | |
| | – | 5 | 6 | | | |
| | | | 6 | 0 | | |
| | | – | 5 | 6 | | |
| | | | | 4 | 3 | |
| | | | | – | 0 | |
| | | | | 4 | 3 | 2 |
| | | | – | 3 | 9 | 2 |
| | | | | | 4 | 0 |
STEP 19: SUBTRACT 432 - 392 = 40
|
| | | 0 | 1 | 1 | 0 | 7 |
| 5 | 6 | 6 | 2 | 0 | 3 | 2 |
| | – | 0 | | | | |
| | | 6 | 2 | | | |
| | – | 5 | 6 | | | |
| | | | 6 | 0 | | |
| | | – | 5 | 6 | | |
| | | | | 4 | 3 | |
| | | | | – | 0 | |
| | | | | 4 | 3 | 2 |
| | | | – | 3 | 9 | 2 |
| | | | | | 4 | 0 |
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