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Question
What is the quotient and remainder when $ 86376 $ is divided by $ 5986376 $ ?
Answer
The quotient is 0 and the remainder is 86376.
Explanation
Division Table
|
| | | | | | | 0 | 0 | 0 | 0 | 0 |
5 | 9 | 8 | 6 | 3 | 7 | 6 | 8 | 6 | 3 | 7 | 6 |
| | | | | | – | 0 | | | | |
| | | | | | | 8 | 6 | | | |
| | | | | | | – | 0 | | | |
| | | | | | | 8 | 6 | 3 | | |
| | | | | | | | – | 0 | | |
| | | | | | | 8 | 6 | 3 | 7 | |
| | | | | | | | | – | 0 | |
| | | | | | | 8 | 6 | 3 | 7 | 6 |
| | | | | | | | | | – | 0 |
| | | | | | | 8 | 6 | 3 | 7 | 6 |
STEP 0: set up a division table
|
| | | | | | | | | | | |
5 | 9 | 8 | 6 | 3 | 7 | 6 | 8 | 6 | 3 | 7 | 6 |
STEP 1: DIVIDE 8 : 5986376 = 0 with a remainder of 8
|
| | | | | | | 0 | | | | |
5 | 9 | 8 | 6 | 3 | 7 | 6 | 8 | 6 | 3 | 7 | 6 |
STEP 2: MULTIPLY 0 · 5986376 = 0
|
| | | | | | | 0 | | | | |
5 | 9 | 8 | 6 | 3 | 7 | 6 | 8 | 6 | 3 | 7 | 6 |
| | | | | | | 0 | | | | |
STEP 3: SUBTRACT 8 - 0 = 8
|
| | | | | | | 0 | | | | |
5 | 9 | 8 | 6 | 3 | 7 | 6 | 8 | 6 | 3 | 7 | 6 |
| | | | | | – | 0 | | | | |
| | | | | | | 8 | | | | |
STEP 4: BRING DOWN
|
| | | | | | | 0 | | | | |
5 | 9 | 8 | 6 | 3 | 7 | 6 | 8 | 6 | 3 | 7 | 6 |
| | | | | | – | 0 | | | | |
| | | | | | | 8 | 6 | | | |
STEP 5: DIVIDE 86 : 5986376 = 0 with a remainder of 86
|
| | | | | | | 0 | 0 | | | |
5 | 9 | 8 | 6 | 3 | 7 | 6 | 8 | 6 | 3 | 7 | 6 |
| | | | | | – | 0 | | | | |
| | | | | | | 8 | 6 | | | |
STEP 6: MULTIPLY 0 · 5986376 = 0
|
| | | | | | | 0 | 0 | | | |
5 | 9 | 8 | 6 | 3 | 7 | 6 | 8 | 6 | 3 | 7 | 6 |
| | | | | | – | 0 | | | | |
| | | | | | | 8 | 6 | | | |
| | | | | | | | 0 | | | |
STEP 7: SUBTRACT 86 - 0 = 86
|
| | | | | | | 0 | 0 | | | |
5 | 9 | 8 | 6 | 3 | 7 | 6 | 8 | 6 | 3 | 7 | 6 |
| | | | | | – | 0 | | | | |
| | | | | | | 8 | 6 | | | |
| | | | | | | – | 0 | | | |
| | | | | | | 8 | 6 | | | |
STEP 8: BRING DOWN
|
| | | | | | | 0 | 0 | | | |
5 | 9 | 8 | 6 | 3 | 7 | 6 | 8 | 6 | 3 | 7 | 6 |
| | | | | | – | 0 | | | | |
| | | | | | | 8 | 6 | | | |
| | | | | | | – | 0 | | | |
| | | | | | | 8 | 6 | 3 | | |
STEP 9: DIVIDE 863 : 5986376 = 0 with a remainder of 863
|
| | | | | | | 0 | 0 | 0 | | |
5 | 9 | 8 | 6 | 3 | 7 | 6 | 8 | 6 | 3 | 7 | 6 |
| | | | | | – | 0 | | | | |
| | | | | | | 8 | 6 | | | |
| | | | | | | – | 0 | | | |
| | | | | | | 8 | 6 | 3 | | |
STEP 10: MULTIPLY 0 · 5986376 = 0
|
| | | | | | | 0 | 0 | 0 | | |
5 | 9 | 8 | 6 | 3 | 7 | 6 | 8 | 6 | 3 | 7 | 6 |
| | | | | | – | 0 | | | | |
| | | | | | | 8 | 6 | | | |
| | | | | | | – | 0 | | | |
| | | | | | | 8 | 6 | 3 | | |
| | | | | | | | | 0 | | |
STEP 11: SUBTRACT 863 - 0 = 863
|
| | | | | | | 0 | 0 | 0 | | |
5 | 9 | 8 | 6 | 3 | 7 | 6 | 8 | 6 | 3 | 7 | 6 |
| | | | | | – | 0 | | | | |
| | | | | | | 8 | 6 | | | |
| | | | | | | – | 0 | | | |
| | | | | | | 8 | 6 | 3 | | |
| | | | | | | | – | 0 | | |
| | | | | | | 8 | 6 | 3 | | |
STEP 12: BRING DOWN
|
| | | | | | | 0 | 0 | 0 | | |
5 | 9 | 8 | 6 | 3 | 7 | 6 | 8 | 6 | 3 | 7 | 6 |
| | | | | | – | 0 | | | | |
| | | | | | | 8 | 6 | | | |
| | | | | | | – | 0 | | | |
| | | | | | | 8 | 6 | 3 | | |
| | | | | | | | – | 0 | | |
| | | | | | | 8 | 6 | 3 | 7 | |
STEP 13: DIVIDE 8637 : 5986376 = 0 with a remainder of 8637
|
| | | | | | | 0 | 0 | 0 | 0 | |
5 | 9 | 8 | 6 | 3 | 7 | 6 | 8 | 6 | 3 | 7 | 6 |
| | | | | | – | 0 | | | | |
| | | | | | | 8 | 6 | | | |
| | | | | | | – | 0 | | | |
| | | | | | | 8 | 6 | 3 | | |
| | | | | | | | – | 0 | | |
| | | | | | | 8 | 6 | 3 | 7 | |
STEP 14: MULTIPLY 0 · 5986376 = 0
|
| | | | | | | 0 | 0 | 0 | 0 | |
5 | 9 | 8 | 6 | 3 | 7 | 6 | 8 | 6 | 3 | 7 | 6 |
| | | | | | – | 0 | | | | |
| | | | | | | 8 | 6 | | | |
| | | | | | | – | 0 | | | |
| | | | | | | 8 | 6 | 3 | | |
| | | | | | | | – | 0 | | |
| | | | | | | 8 | 6 | 3 | 7 | |
| | | | | | | | | | 0 | |
STEP 15: SUBTRACT 8637 - 0 = 8637
|
| | | | | | | 0 | 0 | 0 | 0 | |
5 | 9 | 8 | 6 | 3 | 7 | 6 | 8 | 6 | 3 | 7 | 6 |
| | | | | | – | 0 | | | | |
| | | | | | | 8 | 6 | | | |
| | | | | | | – | 0 | | | |
| | | | | | | 8 | 6 | 3 | | |
| | | | | | | | – | 0 | | |
| | | | | | | 8 | 6 | 3 | 7 | |
| | | | | | | | | – | 0 | |
| | | | | | | 8 | 6 | 3 | 7 | |
STEP 16: BRING DOWN
|
| | | | | | | 0 | 0 | 0 | 0 | |
5 | 9 | 8 | 6 | 3 | 7 | 6 | 8 | 6 | 3 | 7 | 6 |
| | | | | | – | 0 | | | | |
| | | | | | | 8 | 6 | | | |
| | | | | | | – | 0 | | | |
| | | | | | | 8 | 6 | 3 | | |
| | | | | | | | – | 0 | | |
| | | | | | | 8 | 6 | 3 | 7 | |
| | | | | | | | | – | 0 | |
| | | | | | | 8 | 6 | 3 | 7 | 6 |
STEP 17: DIVIDE 86376 : 5986376 = 0 with a remainder of 86376
|
| | | | | | | 0 | 0 | 0 | 0 | 0 |
5 | 9 | 8 | 6 | 3 | 7 | 6 | 8 | 6 | 3 | 7 | 6 |
| | | | | | – | 0 | | | | |
| | | | | | | 8 | 6 | | | |
| | | | | | | – | 0 | | | |
| | | | | | | 8 | 6 | 3 | | |
| | | | | | | | – | 0 | | |
| | | | | | | 8 | 6 | 3 | 7 | |
| | | | | | | | | – | 0 | |
| | | | | | | 8 | 6 | 3 | 7 | 6 |
STEP 18: MULTIPLY 0 · 5986376 = 0
|
| | | | | | | 0 | 0 | 0 | 0 | 0 |
5 | 9 | 8 | 6 | 3 | 7 | 6 | 8 | 6 | 3 | 7 | 6 |
| | | | | | – | 0 | | | | |
| | | | | | | 8 | 6 | | | |
| | | | | | | – | 0 | | | |
| | | | | | | 8 | 6 | 3 | | |
| | | | | | | | – | 0 | | |
| | | | | | | 8 | 6 | 3 | 7 | |
| | | | | | | | | – | 0 | |
| | | | | | | 8 | 6 | 3 | 7 | 6 |
| | | | | | | | | | | 0 |
STEP 19: SUBTRACT 86376 - 0 = 86376
|
| | | | | | | 0 | 0 | 0 | 0 | 0 |
5 | 9 | 8 | 6 | 3 | 7 | 6 | 8 | 6 | 3 | 7 | 6 |
| | | | | | – | 0 | | | | |
| | | | | | | 8 | 6 | | | |
| | | | | | | – | 0 | | | |
| | | | | | | 8 | 6 | 3 | | |
| | | | | | | | – | 0 | | |
| | | | | | | 8 | 6 | 3 | 7 | |
| | | | | | | | | – | 0 | |
| | | | | | | 8 | 6 | 3 | 7 | 6 |
| | | | | | | | | | – | 0 |
| | | | | | | 8 | 6 | 3 | 7 | 6 |
STEP 19: SUBTRACT 86376 - 0 = 86376
|
| | | | | | | 0 | 0 | 0 | 0 | 0 |
5 | 9 | 8 | 6 | 3 | 7 | 6 | 8 | 6 | 3 | 7 | 6 |
| | | | | | – | 0 | | | | |
| | | | | | | 8 | 6 | | | |
| | | | | | | – | 0 | | | |
| | | | | | | 8 | 6 | 3 | | |
| | | | | | | | – | 0 | | |
| | | | | | | 8 | 6 | 3 | 7 | |
| | | | | | | | | – | 0 | |
| | | | | | | 8 | 6 | 3 | 7 | 6 |
| | | | | | | | | | – | 0 |
| | | | | | | 8 | 6 | 3 | 7 | 6 |
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