Question
What is the quotient and remainder when $ 3230 $ is divided by $ 9 $ ?
Answer
The quotient is 358 and the remainder is 8.
Explanation
| Division Table | ||||
| 0 | 3 | 5 | 8 | |
| 9 | 3 | 2 | 3 | 0 |
| – | 0 | |||
| 3 | 2 | |||
| – | 2 | 7 | ||
| 5 | 3 | |||
| – | 4 | 5 | ||
| 8 | 0 | |||
| – | 7 | 2 | ||
| 8 | ||||
|
STEP 0: set up a division table |
||||
| 9 | 3 | 2 | 3 | 0 |
|
STEP 1: DIVIDE 3 : 9 = 0 with a remainder of 3 |
||||
| 0 | ||||
| 9 | 3 | 2 | 3 | 0 |
|
STEP 2: MULTIPLY 0 · 9 = 0 |
||||
| 0 | ||||
| 9 | 3 | 2 | 3 | 0 |
| 0 | ||||
|
STEP 3: SUBTRACT 3 - 0 = 3 |
||||
| 0 | ||||
| 9 | 3 | 2 | 3 | 0 |
| – | 0 | |||
| 3 | ||||
| STEP 4: BRING DOWN | ||||
| 0 | ||||
| 9 | 3 | 2 | 3 | 0 |
| – | 0 | |||
| 3 | 2 | |||
|
STEP 5: DIVIDE 32 : 9 = 3 with a remainder of 5 |
||||
| 0 | 3 | |||
| 9 | 3 | 2 | 3 | 0 |
| – | 0 | |||
| 3 | 2 | |||
|
STEP 6: MULTIPLY 3 · 9 = 27 |
||||
| 0 | 3 | |||
| 9 | 3 | 2 | 3 | 0 |
| – | 0 | |||
| 3 | 2 | |||
| 2 | 7 | |||
|
STEP 7: SUBTRACT 32 - 27 = 5 |
||||
| 0 | 3 | |||
| 9 | 3 | 2 | 3 | 0 |
| – | 0 | |||
| 3 | 2 | |||
| – | 2 | 7 | ||
| 5 | ||||
| STEP 8: BRING DOWN | ||||
| 0 | 3 | |||
| 9 | 3 | 2 | 3 | 0 |
| – | 0 | |||
| 3 | 2 | |||
| – | 2 | 7 | ||
| 5 | 3 | |||
|
STEP 9: DIVIDE 53 : 9 = 5 with a remainder of 8 |
||||
| 0 | 3 | 5 | ||
| 9 | 3 | 2 | 3 | 0 |
| – | 0 | |||
| 3 | 2 | |||
| – | 2 | 7 | ||
| 5 | 3 | |||
|
STEP 10: MULTIPLY 5 · 9 = 45 |
||||
| 0 | 3 | 5 | ||
| 9 | 3 | 2 | 3 | 0 |
| – | 0 | |||
| 3 | 2 | |||
| – | 2 | 7 | ||
| 5 | 3 | |||
| 4 | 5 | |||
|
STEP 11: SUBTRACT 53 - 45 = 8 |
||||
| 0 | 3 | 5 | ||
| 9 | 3 | 2 | 3 | 0 |
| – | 0 | |||
| 3 | 2 | |||
| – | 2 | 7 | ||
| 5 | 3 | |||
| – | 4 | 5 | ||
| 8 | ||||
| STEP 12: BRING DOWN | ||||
| 0 | 3 | 5 | ||
| 9 | 3 | 2 | 3 | 0 |
| – | 0 | |||
| 3 | 2 | |||
| – | 2 | 7 | ||
| 5 | 3 | |||
| – | 4 | 5 | ||
| 8 | 0 | |||
|
STEP 13: DIVIDE 80 : 9 = 8 with a remainder of 8 |
||||
| 0 | 3 | 5 | 8 | |
| 9 | 3 | 2 | 3 | 0 |
| – | 0 | |||
| 3 | 2 | |||
| – | 2 | 7 | ||
| 5 | 3 | |||
| – | 4 | 5 | ||
| 8 | 0 | |||
|
STEP 14: MULTIPLY 8 · 9 = 72 |
||||
| 0 | 3 | 5 | 8 | |
| 9 | 3 | 2 | 3 | 0 |
| – | 0 | |||
| 3 | 2 | |||
| – | 2 | 7 | ||
| 5 | 3 | |||
| – | 4 | 5 | ||
| 8 | 0 | |||
| 7 | 2 | |||
|
STEP 15: SUBTRACT 80 - 72 = 8 |
||||
| 0 | 3 | 5 | 8 | |
| 9 | 3 | 2 | 3 | 0 |
| – | 0 | |||
| 3 | 2 | |||
| – | 2 | 7 | ||
| 5 | 3 | |||
| – | 4 | 5 | ||
| 8 | 0 | |||
| – | 7 | 2 | ||
| 8 | ||||
|
STEP 15: SUBTRACT 80 - 72 = 8 |
||||
| 0 | 3 | 5 | 8 | |
| 9 | 3 | 2 | 3 | 0 |
| – | 0 | |||
| 3 | 2 | |||
| – | 2 | 7 | ||
| 5 | 3 | |||
| – | 4 | 5 | ||
| 8 | 0 | |||
| – | 7 | 2 | ||
| 8 | ||||
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