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What is the quotient and remainder when $ 313 $ is divided by $ 9 $ ?
Answer
The quotient is 34 and the remainder is 7.
Explanation
Division Table
|
| 0 | 3 | 4 |
9 | 3 | 1 | 3 |
– | 0 | | |
| 3 | 1 | |
– | 2 | 7 | |
| | 4 | 3 |
| – | 3 | 6 |
| | | 7 |
STEP 0: set up a division table
|
| | | |
9 | 3 | 1 | 3 |
STEP 1: DIVIDE 3 : 9 = 0 with a remainder of 3
|
| 0 | | |
9 | 3 | 1 | 3 |
STEP 2: MULTIPLY 0 · 9 = 0
|
| 0 | | |
9 | 3 | 1 | 3 |
| 0 | | |
STEP 3: SUBTRACT 3 - 0 = 3
|
| 0 | | |
9 | 3 | 1 | 3 |
– | 0 | | |
| 3 | | |
STEP 4: BRING DOWN
|
| 0 | | |
9 | 3 | 1 | 3 |
– | 0 | | |
| 3 | 1 | |
STEP 5: DIVIDE 31 : 9 = 3 with a remainder of 4
|
| 0 | 3 | |
9 | 3 | 1 | 3 |
– | 0 | | |
| 3 | 1 | |
STEP 6: MULTIPLY 3 · 9 = 27
|
| 0 | 3 | |
9 | 3 | 1 | 3 |
– | 0 | | |
| 3 | 1 | |
| 2 | 7 | |
STEP 7: SUBTRACT 31 - 27 = 4
|
| 0 | 3 | |
9 | 3 | 1 | 3 |
– | 0 | | |
| 3 | 1 | |
– | 2 | 7 | |
| | 4 | |
STEP 8: BRING DOWN
|
| 0 | 3 | |
9 | 3 | 1 | 3 |
– | 0 | | |
| 3 | 1 | |
– | 2 | 7 | |
| | 4 | 3 |
STEP 9: DIVIDE 43 : 9 = 4 with a remainder of 7
|
| 0 | 3 | 4 |
9 | 3 | 1 | 3 |
– | 0 | | |
| 3 | 1 | |
– | 2 | 7 | |
| | 4 | 3 |
STEP 10: MULTIPLY 4 · 9 = 36
|
| 0 | 3 | 4 |
9 | 3 | 1 | 3 |
– | 0 | | |
| 3 | 1 | |
– | 2 | 7 | |
| | 4 | 3 |
| | 3 | 6 |
STEP 11: SUBTRACT 43 - 36 = 7
|
| 0 | 3 | 4 |
9 | 3 | 1 | 3 |
– | 0 | | |
| 3 | 1 | |
– | 2 | 7 | |
| | 4 | 3 |
| – | 3 | 6 |
| | | 7 |
STEP 11: SUBTRACT 43 - 36 = 7
|
| 0 | 3 | 4 |
9 | 3 | 1 | 3 |
– | 0 | | |
| 3 | 1 | |
– | 2 | 7 | |
| | 4 | 3 |
| – | 3 | 6 |
| | | 7 |
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