Question
What is the quotient and remainder when $ 739 $ is divided by $ 9 $ ?
Answer
The quotient is 82 and the remainder is 1.
Explanation
| Division Table | |||
| 0 | 8 | 2 | |
| 9 | 7 | 3 | 9 |
| – | 0 | ||
| 7 | 3 | ||
| – | 7 | 2 | |
| 1 | 9 | ||
| – | 1 | 8 | |
| 1 | |||
|
STEP 0: set up a division table |
|||
| 9 | 7 | 3 | 9 |
|
STEP 1: DIVIDE 7 : 9 = 0 with a remainder of 7 |
|||
| 0 | |||
| 9 | 7 | 3 | 9 |
|
STEP 2: MULTIPLY 0 · 9 = 0 |
|||
| 0 | |||
| 9 | 7 | 3 | 9 |
| 0 | |||
|
STEP 3: SUBTRACT 7 - 0 = 7 |
|||
| 0 | |||
| 9 | 7 | 3 | 9 |
| – | 0 | ||
| 7 | |||
| STEP 4: BRING DOWN | |||
| 0 | |||
| 9 | 7 | 3 | 9 |
| – | 0 | ||
| 7 | 3 | ||
|
STEP 5: DIVIDE 73 : 9 = 8 with a remainder of 1 |
|||
| 0 | 8 | ||
| 9 | 7 | 3 | 9 |
| – | 0 | ||
| 7 | 3 | ||
|
STEP 6: MULTIPLY 8 · 9 = 72 |
|||
| 0 | 8 | ||
| 9 | 7 | 3 | 9 |
| – | 0 | ||
| 7 | 3 | ||
| 7 | 2 | ||
|
STEP 7: SUBTRACT 73 - 72 = 1 |
|||
| 0 | 8 | ||
| 9 | 7 | 3 | 9 |
| – | 0 | ||
| 7 | 3 | ||
| – | 7 | 2 | |
| 1 | |||
| STEP 8: BRING DOWN | |||
| 0 | 8 | ||
| 9 | 7 | 3 | 9 |
| – | 0 | ||
| 7 | 3 | ||
| – | 7 | 2 | |
| 1 | 9 | ||
|
STEP 9: DIVIDE 19 : 9 = 2 with a remainder of 1 |
|||
| 0 | 8 | 2 | |
| 9 | 7 | 3 | 9 |
| – | 0 | ||
| 7 | 3 | ||
| – | 7 | 2 | |
| 1 | 9 | ||
|
STEP 10: MULTIPLY 2 · 9 = 18 |
|||
| 0 | 8 | 2 | |
| 9 | 7 | 3 | 9 |
| – | 0 | ||
| 7 | 3 | ||
| – | 7 | 2 | |
| 1 | 9 | ||
| 1 | 8 | ||
|
STEP 11: SUBTRACT 19 - 18 = 1 |
|||
| 0 | 8 | 2 | |
| 9 | 7 | 3 | 9 |
| – | 0 | ||
| 7 | 3 | ||
| – | 7 | 2 | |
| 1 | 9 | ||
| – | 1 | 8 | |
| 1 | |||
|
STEP 11: SUBTRACT 19 - 18 = 1 |
|||
| 0 | 8 | 2 | |
| 9 | 7 | 3 | 9 |
| – | 0 | ||
| 7 | 3 | ||
| – | 7 | 2 | |
| 1 | 9 | ||
| – | 1 | 8 | |
| 1 | |||
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