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Question
What is the quotient and remainder when $ 12132 $ is divided by $ 9 $ ?
Answer
The quotient is 1348 and the remainder is 0.
Explanation
Division Table
|
| 0 | 1 | 3 | 4 | 8 |
9 | 1 | 2 | 1 | 3 | 2 |
– | 0 | | | | |
| 1 | 2 | | | |
| – | 9 | | | |
| | 3 | 1 | | |
| – | 2 | 7 | | |
| | | 4 | 3 | |
| | – | 3 | 6 | |
| | | | 7 | 2 |
| | | – | 7 | 2 |
| | | | | 0 |
STEP 0: set up a division table
|
| | | | | |
9 | 1 | 2 | 1 | 3 | 2 |
STEP 1: DIVIDE 1 : 9 = 0 with a remainder of 1
|
| 0 | | | | |
9 | 1 | 2 | 1 | 3 | 2 |
STEP 2: MULTIPLY 0 · 9 = 0
|
| 0 | | | | |
9 | 1 | 2 | 1 | 3 | 2 |
| 0 | | | | |
STEP 3: SUBTRACT 1 - 0 = 1
|
| 0 | | | | |
9 | 1 | 2 | 1 | 3 | 2 |
– | 0 | | | | |
| 1 | | | | |
STEP 4: BRING DOWN
|
| 0 | | | | |
9 | 1 | 2 | 1 | 3 | 2 |
– | 0 | | | | |
| 1 | 2 | | | |
STEP 5: DIVIDE 12 : 9 = 1 with a remainder of 3
|
| 0 | 1 | | | |
9 | 1 | 2 | 1 | 3 | 2 |
– | 0 | | | | |
| 1 | 2 | | | |
STEP 6: MULTIPLY 1 · 9 = 9
|
| 0 | 1 | | | |
9 | 1 | 2 | 1 | 3 | 2 |
– | 0 | | | | |
| 1 | 2 | | | |
| | 9 | | | |
STEP 7: SUBTRACT 12 - 9 = 3
|
| 0 | 1 | | | |
9 | 1 | 2 | 1 | 3 | 2 |
– | 0 | | | | |
| 1 | 2 | | | |
| – | 9 | | | |
| | 3 | | | |
STEP 8: BRING DOWN
|
| 0 | 1 | | | |
9 | 1 | 2 | 1 | 3 | 2 |
– | 0 | | | | |
| 1 | 2 | | | |
| – | 9 | | | |
| | 3 | 1 | | |
STEP 9: DIVIDE 31 : 9 = 3 with a remainder of 4
|
| 0 | 1 | 3 | | |
9 | 1 | 2 | 1 | 3 | 2 |
– | 0 | | | | |
| 1 | 2 | | | |
| – | 9 | | | |
| | 3 | 1 | | |
STEP 10: MULTIPLY 3 · 9 = 27
|
| 0 | 1 | 3 | | |
9 | 1 | 2 | 1 | 3 | 2 |
– | 0 | | | | |
| 1 | 2 | | | |
| – | 9 | | | |
| | 3 | 1 | | |
| | 2 | 7 | | |
STEP 11: SUBTRACT 31 - 27 = 4
|
| 0 | 1 | 3 | | |
9 | 1 | 2 | 1 | 3 | 2 |
– | 0 | | | | |
| 1 | 2 | | | |
| – | 9 | | | |
| | 3 | 1 | | |
| – | 2 | 7 | | |
| | | 4 | | |
STEP 12: BRING DOWN
|
| 0 | 1 | 3 | | |
9 | 1 | 2 | 1 | 3 | 2 |
– | 0 | | | | |
| 1 | 2 | | | |
| – | 9 | | | |
| | 3 | 1 | | |
| – | 2 | 7 | | |
| | | 4 | 3 | |
STEP 13: DIVIDE 43 : 9 = 4 with a remainder of 7
|
| 0 | 1 | 3 | 4 | |
9 | 1 | 2 | 1 | 3 | 2 |
– | 0 | | | | |
| 1 | 2 | | | |
| – | 9 | | | |
| | 3 | 1 | | |
| – | 2 | 7 | | |
| | | 4 | 3 | |
STEP 14: MULTIPLY 4 · 9 = 36
|
| 0 | 1 | 3 | 4 | |
9 | 1 | 2 | 1 | 3 | 2 |
– | 0 | | | | |
| 1 | 2 | | | |
| – | 9 | | | |
| | 3 | 1 | | |
| – | 2 | 7 | | |
| | | 4 | 3 | |
| | | 3 | 6 | |
STEP 15: SUBTRACT 43 - 36 = 7
|
| 0 | 1 | 3 | 4 | |
9 | 1 | 2 | 1 | 3 | 2 |
– | 0 | | | | |
| 1 | 2 | | | |
| – | 9 | | | |
| | 3 | 1 | | |
| – | 2 | 7 | | |
| | | 4 | 3 | |
| | – | 3 | 6 | |
| | | | 7 | |
STEP 16: BRING DOWN
|
| 0 | 1 | 3 | 4 | |
9 | 1 | 2 | 1 | 3 | 2 |
– | 0 | | | | |
| 1 | 2 | | | |
| – | 9 | | | |
| | 3 | 1 | | |
| – | 2 | 7 | | |
| | | 4 | 3 | |
| | – | 3 | 6 | |
| | | | 7 | 2 |
STEP 17: DIVIDE 72 : 9 = 8 with a remainder of 0
|
| 0 | 1 | 3 | 4 | 8 |
9 | 1 | 2 | 1 | 3 | 2 |
– | 0 | | | | |
| 1 | 2 | | | |
| – | 9 | | | |
| | 3 | 1 | | |
| – | 2 | 7 | | |
| | | 4 | 3 | |
| | – | 3 | 6 | |
| | | | 7 | 2 |
STEP 18: MULTIPLY 8 · 9 = 72
|
| 0 | 1 | 3 | 4 | 8 |
9 | 1 | 2 | 1 | 3 | 2 |
– | 0 | | | | |
| 1 | 2 | | | |
| – | 9 | | | |
| | 3 | 1 | | |
| – | 2 | 7 | | |
| | | 4 | 3 | |
| | – | 3 | 6 | |
| | | | 7 | 2 |
| | | | 7 | 2 |
STEP 19: SUBTRACT 72 - 72 = 0
|
| 0 | 1 | 3 | 4 | 8 |
9 | 1 | 2 | 1 | 3 | 2 |
– | 0 | | | | |
| 1 | 2 | | | |
| – | 9 | | | |
| | 3 | 1 | | |
| – | 2 | 7 | | |
| | | 4 | 3 | |
| | – | 3 | 6 | |
| | | | 7 | 2 |
| | | – | 7 | 2 |
| | | | | 0 |
STEP 19: SUBTRACT 72 - 72 = 0
|
| 0 | 1 | 3 | 4 | 8 |
9 | 1 | 2 | 1 | 3 | 2 |
– | 0 | | | | |
| 1 | 2 | | | |
| – | 9 | | | |
| | 3 | 1 | | |
| – | 2 | 7 | | |
| | | 4 | 3 | |
| | – | 3 | 6 | |
| | | | 7 | 2 |
| | | – | 7 | 2 |
| | | | | 0 |
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