Question
What is the quotient and remainder when $ 91892 $ is divided by $ 9 $ ?
Answer
The quotient is 10210 and the remainder is 2.
Explanation
| Division Table | |||||
| 1 | 0 | 2 | 1 | 0 | |
| 9 | 9 | 1 | 8 | 9 | 2 |
| – | 9 | ||||
| 1 | |||||
| – | 0 | ||||
| 1 | 8 | ||||
| – | 1 | 8 | |||
| 9 | |||||
| – | 9 | ||||
| 2 | |||||
| – | 0 | ||||
| 2 | |||||
|
STEP 0: set up a division table |
|||||
| 9 | 9 | 1 | 8 | 9 | 2 |
|
STEP 1: DIVIDE 9 : 9 = 1 with a remainder of 0 |
|||||
| 1 | |||||
| 9 | 9 | 1 | 8 | 9 | 2 |
|
STEP 2: MULTIPLY 1 · 9 = 9 |
|||||
| 1 | |||||
| 9 | 9 | 1 | 8 | 9 | 2 |
| 9 | |||||
|
STEP 3: SUBTRACT 9 - 9 = 0 |
|||||
| 1 | |||||
| 9 | 9 | 1 | 8 | 9 | 2 |
| – | 9 | ||||
| 0 | |||||
| STEP 4: BRING DOWN | |||||
| 1 | |||||
| 9 | 9 | 1 | 8 | 9 | 2 |
| – | 9 | ||||
| 1 | |||||
|
STEP 5: DIVIDE 1 : 9 = 0 with a remainder of 1 |
|||||
| 1 | 0 | ||||
| 9 | 9 | 1 | 8 | 9 | 2 |
| – | 9 | ||||
| 1 | |||||
|
STEP 6: MULTIPLY 0 · 9 = 0 |
|||||
| 1 | 0 | ||||
| 9 | 9 | 1 | 8 | 9 | 2 |
| – | 9 | ||||
| 1 | |||||
| 0 | |||||
|
STEP 7: SUBTRACT 1 - 0 = 1 |
|||||
| 1 | 0 | ||||
| 9 | 9 | 1 | 8 | 9 | 2 |
| – | 9 | ||||
| 1 | |||||
| – | 0 | ||||
| 1 | |||||
| STEP 8: BRING DOWN | |||||
| 1 | 0 | ||||
| 9 | 9 | 1 | 8 | 9 | 2 |
| – | 9 | ||||
| 1 | |||||
| – | 0 | ||||
| 1 | 8 | ||||
|
STEP 9: DIVIDE 18 : 9 = 2 with a remainder of 0 |
|||||
| 1 | 0 | 2 | |||
| 9 | 9 | 1 | 8 | 9 | 2 |
| – | 9 | ||||
| 1 | |||||
| – | 0 | ||||
| 1 | 8 | ||||
|
STEP 10: MULTIPLY 2 · 9 = 18 |
|||||
| 1 | 0 | 2 | |||
| 9 | 9 | 1 | 8 | 9 | 2 |
| – | 9 | ||||
| 1 | |||||
| – | 0 | ||||
| 1 | 8 | ||||
| 1 | 8 | ||||
|
STEP 11: SUBTRACT 18 - 18 = 0 |
|||||
| 1 | 0 | 2 | |||
| 9 | 9 | 1 | 8 | 9 | 2 |
| – | 9 | ||||
| 1 | |||||
| – | 0 | ||||
| 1 | 8 | ||||
| – | 1 | 8 | |||
| 0 | |||||
| STEP 12: BRING DOWN | |||||
| 1 | 0 | 2 | |||
| 9 | 9 | 1 | 8 | 9 | 2 |
| – | 9 | ||||
| 1 | |||||
| – | 0 | ||||
| 1 | 8 | ||||
| – | 1 | 8 | |||
| 9 | |||||
|
STEP 13: DIVIDE 9 : 9 = 1 with a remainder of 0 |
|||||
| 1 | 0 | 2 | 1 | ||
| 9 | 9 | 1 | 8 | 9 | 2 |
| – | 9 | ||||
| 1 | |||||
| – | 0 | ||||
| 1 | 8 | ||||
| – | 1 | 8 | |||
| 9 | |||||
|
STEP 14: MULTIPLY 1 · 9 = 9 |
|||||
| 1 | 0 | 2 | 1 | ||
| 9 | 9 | 1 | 8 | 9 | 2 |
| – | 9 | ||||
| 1 | |||||
| – | 0 | ||||
| 1 | 8 | ||||
| – | 1 | 8 | |||
| 9 | |||||
| 9 | |||||
|
STEP 15: SUBTRACT 9 - 9 = 0 |
|||||
| 1 | 0 | 2 | 1 | ||
| 9 | 9 | 1 | 8 | 9 | 2 |
| – | 9 | ||||
| 1 | |||||
| – | 0 | ||||
| 1 | 8 | ||||
| – | 1 | 8 | |||
| 9 | |||||
| – | 9 | ||||
| 0 | |||||
| STEP 16: BRING DOWN | |||||
| 1 | 0 | 2 | 1 | ||
| 9 | 9 | 1 | 8 | 9 | 2 |
| – | 9 | ||||
| 1 | |||||
| – | 0 | ||||
| 1 | 8 | ||||
| – | 1 | 8 | |||
| 9 | |||||
| – | 9 | ||||
| 2 | |||||
|
STEP 17: DIVIDE 2 : 9 = 0 with a remainder of 2 |
|||||
| 1 | 0 | 2 | 1 | 0 | |
| 9 | 9 | 1 | 8 | 9 | 2 |
| – | 9 | ||||
| 1 | |||||
| – | 0 | ||||
| 1 | 8 | ||||
| – | 1 | 8 | |||
| 9 | |||||
| – | 9 | ||||
| 2 | |||||
|
STEP 18: MULTIPLY 0 · 9 = 0 |
|||||
| 1 | 0 | 2 | 1 | 0 | |
| 9 | 9 | 1 | 8 | 9 | 2 |
| – | 9 | ||||
| 1 | |||||
| – | 0 | ||||
| 1 | 8 | ||||
| – | 1 | 8 | |||
| 9 | |||||
| – | 9 | ||||
| 2 | |||||
| 0 | |||||
|
STEP 19: SUBTRACT 2 - 0 = 2 |
|||||
| 1 | 0 | 2 | 1 | 0 | |
| 9 | 9 | 1 | 8 | 9 | 2 |
| – | 9 | ||||
| 1 | |||||
| – | 0 | ||||
| 1 | 8 | ||||
| – | 1 | 8 | |||
| 9 | |||||
| – | 9 | ||||
| 2 | |||||
| – | 0 | ||||
| 2 | |||||
|
STEP 19: SUBTRACT 2 - 0 = 2 |
|||||
| 1 | 0 | 2 | 1 | 0 | |
| 9 | 9 | 1 | 8 | 9 | 2 |
| – | 9 | ||||
| 1 | |||||
| – | 0 | ||||
| 1 | 8 | ||||
| – | 1 | 8 | |||
| 9 | |||||
| – | 9 | ||||
| 2 | |||||
| – | 0 | ||||
| 2 | |||||
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