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Question
What is the quotient and remainder when $ 3166 $ is divided by $ 9 $ ?
Answer
The quotient is 351 and the remainder is 7.
Explanation
|
Division Table
|
| | 0 | 3 | 5 | 1 |
| 9 | 3 | 1 | 6 | 6 |
| – | 0 | | | |
| | 3 | 1 | | |
| – | 2 | 7 | | |
| | | 4 | 6 | |
| | – | 4 | 5 | |
| | | | 1 | 6 |
| | | | – | 9 |
| | | | | 7 |
STEP 0: set up a division table
|
| | | | | |
| 9 | 3 | 1 | 6 | 6 |
STEP 1: DIVIDE 3 : 9 = 0 with a remainder of 3
|
| | 0 | | | |
| 9 | 3 | 1 | 6 | 6 |
STEP 2: MULTIPLY 0 · 9 = 0
|
| | 0 | | | |
| 9 | 3 | 1 | 6 | 6 |
| | 0 | | | |
STEP 3: SUBTRACT 3 - 0 = 3
|
| | 0 | | | |
| 9 | 3 | 1 | 6 | 6 |
| – | 0 | | | |
| | 3 | | | |
|
STEP 4: BRING DOWN
|
| | 0 | | | |
| 9 | 3 | 1 | 6 | 6 |
| – | 0 | | | |
| | 3 | 1 | | |
STEP 5: DIVIDE 31 : 9 = 3 with a remainder of 4
|
| | 0 | 3 | | |
| 9 | 3 | 1 | 6 | 6 |
| – | 0 | | | |
| | 3 | 1 | | |
STEP 6: MULTIPLY 3 · 9 = 27
|
| | 0 | 3 | | |
| 9 | 3 | 1 | 6 | 6 |
| – | 0 | | | |
| | 3 | 1 | | |
| | 2 | 7 | | |
STEP 7: SUBTRACT 31 - 27 = 4
|
| | 0 | 3 | | |
| 9 | 3 | 1 | 6 | 6 |
| – | 0 | | | |
| | 3 | 1 | | |
| – | 2 | 7 | | |
| | | 4 | | |
|
STEP 8: BRING DOWN
|
| | 0 | 3 | | |
| 9 | 3 | 1 | 6 | 6 |
| – | 0 | | | |
| | 3 | 1 | | |
| – | 2 | 7 | | |
| | | 4 | 6 | |
STEP 9: DIVIDE 46 : 9 = 5 with a remainder of 1
|
| | 0 | 3 | 5 | |
| 9 | 3 | 1 | 6 | 6 |
| – | 0 | | | |
| | 3 | 1 | | |
| – | 2 | 7 | | |
| | | 4 | 6 | |
STEP 10: MULTIPLY 5 · 9 = 45
|
| | 0 | 3 | 5 | |
| 9 | 3 | 1 | 6 | 6 |
| – | 0 | | | |
| | 3 | 1 | | |
| – | 2 | 7 | | |
| | | 4 | 6 | |
| | | 4 | 5 | |
STEP 11: SUBTRACT 46 - 45 = 1
|
| | 0 | 3 | 5 | |
| 9 | 3 | 1 | 6 | 6 |
| – | 0 | | | |
| | 3 | 1 | | |
| – | 2 | 7 | | |
| | | 4 | 6 | |
| | – | 4 | 5 | |
| | | | 1 | |
|
STEP 12: BRING DOWN
|
| | 0 | 3 | 5 | |
| 9 | 3 | 1 | 6 | 6 |
| – | 0 | | | |
| | 3 | 1 | | |
| – | 2 | 7 | | |
| | | 4 | 6 | |
| | – | 4 | 5 | |
| | | | 1 | 6 |
STEP 13: DIVIDE 16 : 9 = 1 with a remainder of 7
|
| | 0 | 3 | 5 | 1 |
| 9 | 3 | 1 | 6 | 6 |
| – | 0 | | | |
| | 3 | 1 | | |
| – | 2 | 7 | | |
| | | 4 | 6 | |
| | – | 4 | 5 | |
| | | | 1 | 6 |
STEP 14: MULTIPLY 1 · 9 = 9
|
| | 0 | 3 | 5 | 1 |
| 9 | 3 | 1 | 6 | 6 |
| – | 0 | | | |
| | 3 | 1 | | |
| – | 2 | 7 | | |
| | | 4 | 6 | |
| | – | 4 | 5 | |
| | | | 1 | 6 |
| | | | | 9 |
STEP 15: SUBTRACT 16 - 9 = 7
|
| | 0 | 3 | 5 | 1 |
| 9 | 3 | 1 | 6 | 6 |
| – | 0 | | | |
| | 3 | 1 | | |
| – | 2 | 7 | | |
| | | 4 | 6 | |
| | – | 4 | 5 | |
| | | | 1 | 6 |
| | | | – | 9 |
| | | | | 7 |
STEP 15: SUBTRACT 16 - 9 = 7
|
| | 0 | 3 | 5 | 1 |
| 9 | 3 | 1 | 6 | 6 |
| – | 0 | | | |
| | 3 | 1 | | |
| – | 2 | 7 | | |
| | | 4 | 6 | |
| | – | 4 | 5 | |
| | | | 1 | 6 |
| | | | – | 9 |
| | | | | 7 |
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