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Question
What is the quotient and remainder when $ 813634 $ is divided by $ 44 $ ?
Answer
The quotient is 18491 and the remainder is 30.
Explanation
|
Division Table
|
| | | 0 | 1 | 8 | 4 | 9 | 1 |
| 4 | 4 | 8 | 1 | 3 | 6 | 3 | 4 |
| | – | 0 | | | | | |
| | | 8 | 1 | | | | |
| | – | 4 | 4 | | | | |
| | | 3 | 7 | 3 | | | |
| | – | 3 | 5 | 2 | | | |
| | | | 2 | 1 | 6 | | |
| | | – | 1 | 7 | 6 | | |
| | | | | 4 | 0 | 3 | |
| | | | – | 3 | 9 | 6 | |
| | | | | | | 7 | 4 |
| | | | | | – | 4 | 4 |
| | | | | | | 3 | 0 |
STEP 0: set up a division table
|
| | | | | | | | |
| 4 | 4 | 8 | 1 | 3 | 6 | 3 | 4 |
STEP 1: DIVIDE 8 : 44 = 0 with a remainder of 8
|
| | | 0 | | | | | |
| 4 | 4 | 8 | 1 | 3 | 6 | 3 | 4 |
STEP 2: MULTIPLY 0 · 44 = 0
|
| | | 0 | | | | | |
| 4 | 4 | 8 | 1 | 3 | 6 | 3 | 4 |
| | | 0 | | | | | |
STEP 3: SUBTRACT 8 - 0 = 8
|
| | | 0 | | | | | |
| 4 | 4 | 8 | 1 | 3 | 6 | 3 | 4 |
| | – | 0 | | | | | |
| | | 8 | | | | | |
|
STEP 4: BRING DOWN
|
| | | 0 | | | | | |
| 4 | 4 | 8 | 1 | 3 | 6 | 3 | 4 |
| | – | 0 | | | | | |
| | | 8 | 1 | | | | |
STEP 5: DIVIDE 81 : 44 = 1 with a remainder of 37
|
| | | 0 | 1 | | | | |
| 4 | 4 | 8 | 1 | 3 | 6 | 3 | 4 |
| | – | 0 | | | | | |
| | | 8 | 1 | | | | |
STEP 6: MULTIPLY 1 · 44 = 44
|
| | | 0 | 1 | | | | |
| 4 | 4 | 8 | 1 | 3 | 6 | 3 | 4 |
| | – | 0 | | | | | |
| | | 8 | 1 | | | | |
| | | 4 | 4 | | | | |
STEP 7: SUBTRACT 81 - 44 = 37
|
| | | 0 | 1 | | | | |
| 4 | 4 | 8 | 1 | 3 | 6 | 3 | 4 |
| | – | 0 | | | | | |
| | | 8 | 1 | | | | |
| | – | 4 | 4 | | | | |
| | | 3 | 7 | | | | |
|
STEP 8: BRING DOWN
|
| | | 0 | 1 | | | | |
| 4 | 4 | 8 | 1 | 3 | 6 | 3 | 4 |
| | – | 0 | | | | | |
| | | 8 | 1 | | | | |
| | – | 4 | 4 | | | | |
| | | 3 | 7 | 3 | | | |
STEP 9: DIVIDE 373 : 44 = 8 with a remainder of 21
|
| | | 0 | 1 | 8 | | | |
| 4 | 4 | 8 | 1 | 3 | 6 | 3 | 4 |
| | – | 0 | | | | | |
| | | 8 | 1 | | | | |
| | – | 4 | 4 | | | | |
| | | 3 | 7 | 3 | | | |
STEP 10: MULTIPLY 8 · 44 = 352
|
| | | 0 | 1 | 8 | | | |
| 4 | 4 | 8 | 1 | 3 | 6 | 3 | 4 |
| | – | 0 | | | | | |
| | | 8 | 1 | | | | |
| | – | 4 | 4 | | | | |
| | | 3 | 7 | 3 | | | |
| | | 3 | 5 | 2 | | | |
STEP 11: SUBTRACT 373 - 352 = 21
|
| | | 0 | 1 | 8 | | | |
| 4 | 4 | 8 | 1 | 3 | 6 | 3 | 4 |
| | – | 0 | | | | | |
| | | 8 | 1 | | | | |
| | – | 4 | 4 | | | | |
| | | 3 | 7 | 3 | | | |
| | – | 3 | 5 | 2 | | | |
| | | | 2 | 1 | | | |
|
STEP 12: BRING DOWN
|
| | | 0 | 1 | 8 | | | |
| 4 | 4 | 8 | 1 | 3 | 6 | 3 | 4 |
| | – | 0 | | | | | |
| | | 8 | 1 | | | | |
| | – | 4 | 4 | | | | |
| | | 3 | 7 | 3 | | | |
| | – | 3 | 5 | 2 | | | |
| | | | 2 | 1 | 6 | | |
STEP 13: DIVIDE 216 : 44 = 4 with a remainder of 40
|
| | | 0 | 1 | 8 | 4 | | |
| 4 | 4 | 8 | 1 | 3 | 6 | 3 | 4 |
| | – | 0 | | | | | |
| | | 8 | 1 | | | | |
| | – | 4 | 4 | | | | |
| | | 3 | 7 | 3 | | | |
| | – | 3 | 5 | 2 | | | |
| | | | 2 | 1 | 6 | | |
STEP 14: MULTIPLY 4 · 44 = 176
|
| | | 0 | 1 | 8 | 4 | | |
| 4 | 4 | 8 | 1 | 3 | 6 | 3 | 4 |
| | – | 0 | | | | | |
| | | 8 | 1 | | | | |
| | – | 4 | 4 | | | | |
| | | 3 | 7 | 3 | | | |
| | – | 3 | 5 | 2 | | | |
| | | | 2 | 1 | 6 | | |
| | | | 1 | 7 | 6 | | |
STEP 15: SUBTRACT 216 - 176 = 40
|
| | | 0 | 1 | 8 | 4 | | |
| 4 | 4 | 8 | 1 | 3 | 6 | 3 | 4 |
| | – | 0 | | | | | |
| | | 8 | 1 | | | | |
| | – | 4 | 4 | | | | |
| | | 3 | 7 | 3 | | | |
| | – | 3 | 5 | 2 | | | |
| | | | 2 | 1 | 6 | | |
| | | – | 1 | 7 | 6 | | |
| | | | | 4 | 0 | | |
|
STEP 16: BRING DOWN
|
| | | 0 | 1 | 8 | 4 | | |
| 4 | 4 | 8 | 1 | 3 | 6 | 3 | 4 |
| | – | 0 | | | | | |
| | | 8 | 1 | | | | |
| | – | 4 | 4 | | | | |
| | | 3 | 7 | 3 | | | |
| | – | 3 | 5 | 2 | | | |
| | | | 2 | 1 | 6 | | |
| | | – | 1 | 7 | 6 | | |
| | | | | 4 | 0 | 3 | |
STEP 17: DIVIDE 403 : 44 = 9 with a remainder of 7
|
| | | 0 | 1 | 8 | 4 | 9 | |
| 4 | 4 | 8 | 1 | 3 | 6 | 3 | 4 |
| | – | 0 | | | | | |
| | | 8 | 1 | | | | |
| | – | 4 | 4 | | | | |
| | | 3 | 7 | 3 | | | |
| | – | 3 | 5 | 2 | | | |
| | | | 2 | 1 | 6 | | |
| | | – | 1 | 7 | 6 | | |
| | | | | 4 | 0 | 3 | |
STEP 18: MULTIPLY 9 · 44 = 396
|
| | | 0 | 1 | 8 | 4 | 9 | |
| 4 | 4 | 8 | 1 | 3 | 6 | 3 | 4 |
| | – | 0 | | | | | |
| | | 8 | 1 | | | | |
| | – | 4 | 4 | | | | |
| | | 3 | 7 | 3 | | | |
| | – | 3 | 5 | 2 | | | |
| | | | 2 | 1 | 6 | | |
| | | – | 1 | 7 | 6 | | |
| | | | | 4 | 0 | 3 | |
| | | | | 3 | 9 | 6 | |
STEP 19: SUBTRACT 403 - 396 = 7
|
| | | 0 | 1 | 8 | 4 | 9 | |
| 4 | 4 | 8 | 1 | 3 | 6 | 3 | 4 |
| | – | 0 | | | | | |
| | | 8 | 1 | | | | |
| | – | 4 | 4 | | | | |
| | | 3 | 7 | 3 | | | |
| | – | 3 | 5 | 2 | | | |
| | | | 2 | 1 | 6 | | |
| | | – | 1 | 7 | 6 | | |
| | | | | 4 | 0 | 3 | |
| | | | – | 3 | 9 | 6 | |
| | | | | | | 7 | |
|
STEP 20: BRING DOWN
|
| | | 0 | 1 | 8 | 4 | 9 | |
| 4 | 4 | 8 | 1 | 3 | 6 | 3 | 4 |
| | – | 0 | | | | | |
| | | 8 | 1 | | | | |
| | – | 4 | 4 | | | | |
| | | 3 | 7 | 3 | | | |
| | – | 3 | 5 | 2 | | | |
| | | | 2 | 1 | 6 | | |
| | | – | 1 | 7 | 6 | | |
| | | | | 4 | 0 | 3 | |
| | | | – | 3 | 9 | 6 | |
| | | | | | | 7 | 4 |
STEP 21: DIVIDE 74 : 44 = 1 with a remainder of 30
|
| | | 0 | 1 | 8 | 4 | 9 | 1 |
| 4 | 4 | 8 | 1 | 3 | 6 | 3 | 4 |
| | – | 0 | | | | | |
| | | 8 | 1 | | | | |
| | – | 4 | 4 | | | | |
| | | 3 | 7 | 3 | | | |
| | – | 3 | 5 | 2 | | | |
| | | | 2 | 1 | 6 | | |
| | | – | 1 | 7 | 6 | | |
| | | | | 4 | 0 | 3 | |
| | | | – | 3 | 9 | 6 | |
| | | | | | | 7 | 4 |
STEP 22: MULTIPLY 1 · 44 = 44
|
| | | 0 | 1 | 8 | 4 | 9 | 1 |
| 4 | 4 | 8 | 1 | 3 | 6 | 3 | 4 |
| | – | 0 | | | | | |
| | | 8 | 1 | | | | |
| | – | 4 | 4 | | | | |
| | | 3 | 7 | 3 | | | |
| | – | 3 | 5 | 2 | | | |
| | | | 2 | 1 | 6 | | |
| | | – | 1 | 7 | 6 | | |
| | | | | 4 | 0 | 3 | |
| | | | – | 3 | 9 | 6 | |
| | | | | | | 7 | 4 |
| | | | | | | 4 | 4 |
STEP 23: SUBTRACT 74 - 44 = 30
|
| | | 0 | 1 | 8 | 4 | 9 | 1 |
| 4 | 4 | 8 | 1 | 3 | 6 | 3 | 4 |
| | – | 0 | | | | | |
| | | 8 | 1 | | | | |
| | – | 4 | 4 | | | | |
| | | 3 | 7 | 3 | | | |
| | – | 3 | 5 | 2 | | | |
| | | | 2 | 1 | 6 | | |
| | | – | 1 | 7 | 6 | | |
| | | | | 4 | 0 | 3 | |
| | | | – | 3 | 9 | 6 | |
| | | | | | | 7 | 4 |
| | | | | | – | 4 | 4 |
| | | | | | | 3 | 0 |
STEP 23: SUBTRACT 74 - 44 = 30
|
| | | 0 | 1 | 8 | 4 | 9 | 1 |
| 4 | 4 | 8 | 1 | 3 | 6 | 3 | 4 |
| | – | 0 | | | | | |
| | | 8 | 1 | | | | |
| | – | 4 | 4 | | | | |
| | | 3 | 7 | 3 | | | |
| | – | 3 | 5 | 2 | | | |
| | | | 2 | 1 | 6 | | |
| | | – | 1 | 7 | 6 | | |
| | | | | 4 | 0 | 3 | |
| | | | – | 3 | 9 | 6 | |
| | | | | | | 7 | 4 |
| | | | | | – | 4 | 4 |
| | | | | | | 3 | 0 |
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