Question
What is the quotient and remainder when $ 813 $ is divided by $ 9 $ ?
Answer
The quotient is 90 and the remainder is 3.
Explanation
| Division Table | |||
| 0 | 9 | 0 | |
| 9 | 8 | 1 | 3 |
| – | 0 | ||
| 8 | 1 | ||
| – | 8 | 1 | |
| 3 | |||
| – | 0 | ||
| 3 | |||
|
STEP 0: set up a division table |
|||
| 9 | 8 | 1 | 3 |
|
STEP 1: DIVIDE 8 : 9 = 0 with a remainder of 8 |
|||
| 0 | |||
| 9 | 8 | 1 | 3 |
|
STEP 2: MULTIPLY 0 · 9 = 0 |
|||
| 0 | |||
| 9 | 8 | 1 | 3 |
| 0 | |||
|
STEP 3: SUBTRACT 8 - 0 = 8 |
|||
| 0 | |||
| 9 | 8 | 1 | 3 |
| – | 0 | ||
| 8 | |||
| STEP 4: BRING DOWN | |||
| 0 | |||
| 9 | 8 | 1 | 3 |
| – | 0 | ||
| 8 | 1 | ||
|
STEP 5: DIVIDE 81 : 9 = 9 with a remainder of 0 |
|||
| 0 | 9 | ||
| 9 | 8 | 1 | 3 |
| – | 0 | ||
| 8 | 1 | ||
|
STEP 6: MULTIPLY 9 · 9 = 81 |
|||
| 0 | 9 | ||
| 9 | 8 | 1 | 3 |
| – | 0 | ||
| 8 | 1 | ||
| 8 | 1 | ||
|
STEP 7: SUBTRACT 81 - 81 = 0 |
|||
| 0 | 9 | ||
| 9 | 8 | 1 | 3 |
| – | 0 | ||
| 8 | 1 | ||
| – | 8 | 1 | |
| 0 | |||
| STEP 8: BRING DOWN | |||
| 0 | 9 | ||
| 9 | 8 | 1 | 3 |
| – | 0 | ||
| 8 | 1 | ||
| – | 8 | 1 | |
| 3 | |||
|
STEP 9: DIVIDE 3 : 9 = 0 with a remainder of 3 |
|||
| 0 | 9 | 0 | |
| 9 | 8 | 1 | 3 |
| – | 0 | ||
| 8 | 1 | ||
| – | 8 | 1 | |
| 3 | |||
|
STEP 10: MULTIPLY 0 · 9 = 0 |
|||
| 0 | 9 | 0 | |
| 9 | 8 | 1 | 3 |
| – | 0 | ||
| 8 | 1 | ||
| – | 8 | 1 | |
| 3 | |||
| 0 | |||
|
STEP 11: SUBTRACT 3 - 0 = 3 |
|||
| 0 | 9 | 0 | |
| 9 | 8 | 1 | 3 |
| – | 0 | ||
| 8 | 1 | ||
| – | 8 | 1 | |
| 3 | |||
| – | 0 | ||
| 3 | |||
|
STEP 11: SUBTRACT 3 - 0 = 3 |
|||
| 0 | 9 | 0 | |
| 9 | 8 | 1 | 3 |
| – | 0 | ||
| 8 | 1 | ||
| – | 8 | 1 | |
| 3 | |||
| – | 0 | ||
| 3 | |||
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