Question
What is the quotient and remainder when $ 81844 $ is divided by $ 9 $ ?
Answer
The quotient is 9093 and the remainder is 7.
Explanation
| Division Table | |||||
| 0 | 9 | 0 | 9 | 3 | |
| 9 | 8 | 1 | 8 | 4 | 4 |
| – | 0 | ||||
| 8 | 1 | ||||
| – | 8 | 1 | |||
| 8 | |||||
| – | 0 | ||||
| 8 | 4 | ||||
| – | 8 | 1 | |||
| 3 | 4 | ||||
| – | 2 | 7 | |||
| 7 | |||||
|
STEP 0: set up a division table |
|||||
| 9 | 8 | 1 | 8 | 4 | 4 |
|
STEP 1: DIVIDE 8 : 9 = 0 with a remainder of 8 |
|||||
| 0 | |||||
| 9 | 8 | 1 | 8 | 4 | 4 |
|
STEP 2: MULTIPLY 0 · 9 = 0 |
|||||
| 0 | |||||
| 9 | 8 | 1 | 8 | 4 | 4 |
| 0 | |||||
|
STEP 3: SUBTRACT 8 - 0 = 8 |
|||||
| 0 | |||||
| 9 | 8 | 1 | 8 | 4 | 4 |
| – | 0 | ||||
| 8 | |||||
| STEP 4: BRING DOWN | |||||
| 0 | |||||
| 9 | 8 | 1 | 8 | 4 | 4 |
| – | 0 | ||||
| 8 | 1 | ||||
|
STEP 5: DIVIDE 81 : 9 = 9 with a remainder of 0 |
|||||
| 0 | 9 | ||||
| 9 | 8 | 1 | 8 | 4 | 4 |
| – | 0 | ||||
| 8 | 1 | ||||
|
STEP 6: MULTIPLY 9 · 9 = 81 |
|||||
| 0 | 9 | ||||
| 9 | 8 | 1 | 8 | 4 | 4 |
| – | 0 | ||||
| 8 | 1 | ||||
| 8 | 1 | ||||
|
STEP 7: SUBTRACT 81 - 81 = 0 |
|||||
| 0 | 9 | ||||
| 9 | 8 | 1 | 8 | 4 | 4 |
| – | 0 | ||||
| 8 | 1 | ||||
| – | 8 | 1 | |||
| 0 | |||||
| STEP 8: BRING DOWN | |||||
| 0 | 9 | ||||
| 9 | 8 | 1 | 8 | 4 | 4 |
| – | 0 | ||||
| 8 | 1 | ||||
| – | 8 | 1 | |||
| 8 | |||||
|
STEP 9: DIVIDE 8 : 9 = 0 with a remainder of 8 |
|||||
| 0 | 9 | 0 | |||
| 9 | 8 | 1 | 8 | 4 | 4 |
| – | 0 | ||||
| 8 | 1 | ||||
| – | 8 | 1 | |||
| 8 | |||||
|
STEP 10: MULTIPLY 0 · 9 = 0 |
|||||
| 0 | 9 | 0 | |||
| 9 | 8 | 1 | 8 | 4 | 4 |
| – | 0 | ||||
| 8 | 1 | ||||
| – | 8 | 1 | |||
| 8 | |||||
| 0 | |||||
|
STEP 11: SUBTRACT 8 - 0 = 8 |
|||||
| 0 | 9 | 0 | |||
| 9 | 8 | 1 | 8 | 4 | 4 |
| – | 0 | ||||
| 8 | 1 | ||||
| – | 8 | 1 | |||
| 8 | |||||
| – | 0 | ||||
| 8 | |||||
| STEP 12: BRING DOWN | |||||
| 0 | 9 | 0 | |||
| 9 | 8 | 1 | 8 | 4 | 4 |
| – | 0 | ||||
| 8 | 1 | ||||
| – | 8 | 1 | |||
| 8 | |||||
| – | 0 | ||||
| 8 | 4 | ||||
|
STEP 13: DIVIDE 84 : 9 = 9 with a remainder of 3 |
|||||
| 0 | 9 | 0 | 9 | ||
| 9 | 8 | 1 | 8 | 4 | 4 |
| – | 0 | ||||
| 8 | 1 | ||||
| – | 8 | 1 | |||
| 8 | |||||
| – | 0 | ||||
| 8 | 4 | ||||
|
STEP 14: MULTIPLY 9 · 9 = 81 |
|||||
| 0 | 9 | 0 | 9 | ||
| 9 | 8 | 1 | 8 | 4 | 4 |
| – | 0 | ||||
| 8 | 1 | ||||
| – | 8 | 1 | |||
| 8 | |||||
| – | 0 | ||||
| 8 | 4 | ||||
| 8 | 1 | ||||
|
STEP 15: SUBTRACT 84 - 81 = 3 |
|||||
| 0 | 9 | 0 | 9 | ||
| 9 | 8 | 1 | 8 | 4 | 4 |
| – | 0 | ||||
| 8 | 1 | ||||
| – | 8 | 1 | |||
| 8 | |||||
| – | 0 | ||||
| 8 | 4 | ||||
| – | 8 | 1 | |||
| 3 | |||||
| STEP 16: BRING DOWN | |||||
| 0 | 9 | 0 | 9 | ||
| 9 | 8 | 1 | 8 | 4 | 4 |
| – | 0 | ||||
| 8 | 1 | ||||
| – | 8 | 1 | |||
| 8 | |||||
| – | 0 | ||||
| 8 | 4 | ||||
| – | 8 | 1 | |||
| 3 | 4 | ||||
|
STEP 17: DIVIDE 34 : 9 = 3 with a remainder of 7 |
|||||
| 0 | 9 | 0 | 9 | 3 | |
| 9 | 8 | 1 | 8 | 4 | 4 |
| – | 0 | ||||
| 8 | 1 | ||||
| – | 8 | 1 | |||
| 8 | |||||
| – | 0 | ||||
| 8 | 4 | ||||
| – | 8 | 1 | |||
| 3 | 4 | ||||
|
STEP 18: MULTIPLY 3 · 9 = 27 |
|||||
| 0 | 9 | 0 | 9 | 3 | |
| 9 | 8 | 1 | 8 | 4 | 4 |
| – | 0 | ||||
| 8 | 1 | ||||
| – | 8 | 1 | |||
| 8 | |||||
| – | 0 | ||||
| 8 | 4 | ||||
| – | 8 | 1 | |||
| 3 | 4 | ||||
| 2 | 7 | ||||
|
STEP 19: SUBTRACT 34 - 27 = 7 |
|||||
| 0 | 9 | 0 | 9 | 3 | |
| 9 | 8 | 1 | 8 | 4 | 4 |
| – | 0 | ||||
| 8 | 1 | ||||
| – | 8 | 1 | |||
| 8 | |||||
| – | 0 | ||||
| 8 | 4 | ||||
| – | 8 | 1 | |||
| 3 | 4 | ||||
| – | 2 | 7 | |||
| 7 | |||||
|
STEP 19: SUBTRACT 34 - 27 = 7 |
|||||
| 0 | 9 | 0 | 9 | 3 | |
| 9 | 8 | 1 | 8 | 4 | 4 |
| – | 0 | ||||
| 8 | 1 | ||||
| – | 8 | 1 | |||
| 8 | |||||
| – | 0 | ||||
| 8 | 4 | ||||
| – | 8 | 1 | |||
| 3 | 4 | ||||
| – | 2 | 7 | |||
| 7 | |||||
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