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What is the quotient and remainder when $ 3891 $ is divided by $ 12 $ ?
Answer
The quotient is 324 and the remainder is 3.
Explanation
Division Table
|
| | 0 | 3 | 2 | 4 |
1 | 2 | 3 | 8 | 9 | 1 |
| – | 0 | | | |
| | 3 | 8 | | |
| – | 3 | 6 | | |
| | | 2 | 9 | |
| | – | 2 | 4 | |
| | | | 5 | 1 |
| | | – | 4 | 8 |
| | | | | 3 |
STEP 0: set up a division table
|
| | | | | |
1 | 2 | 3 | 8 | 9 | 1 |
STEP 1: DIVIDE 3 : 12 = 0 with a remainder of 3
|
| | 0 | | | |
1 | 2 | 3 | 8 | 9 | 1 |
STEP 2: MULTIPLY 0 · 12 = 0
|
| | 0 | | | |
1 | 2 | 3 | 8 | 9 | 1 |
| | 0 | | | |
STEP 3: SUBTRACT 3 - 0 = 3
|
| | 0 | | | |
1 | 2 | 3 | 8 | 9 | 1 |
| – | 0 | | | |
| | 3 | | | |
STEP 4: BRING DOWN
|
| | 0 | | | |
1 | 2 | 3 | 8 | 9 | 1 |
| – | 0 | | | |
| | 3 | 8 | | |
STEP 5: DIVIDE 38 : 12 = 3 with a remainder of 2
|
| | 0 | 3 | | |
1 | 2 | 3 | 8 | 9 | 1 |
| – | 0 | | | |
| | 3 | 8 | | |
STEP 6: MULTIPLY 3 · 12 = 36
|
| | 0 | 3 | | |
1 | 2 | 3 | 8 | 9 | 1 |
| – | 0 | | | |
| | 3 | 8 | | |
| | 3 | 6 | | |
STEP 7: SUBTRACT 38 - 36 = 2
|
| | 0 | 3 | | |
1 | 2 | 3 | 8 | 9 | 1 |
| – | 0 | | | |
| | 3 | 8 | | |
| – | 3 | 6 | | |
| | | 2 | | |
STEP 8: BRING DOWN
|
| | 0 | 3 | | |
1 | 2 | 3 | 8 | 9 | 1 |
| – | 0 | | | |
| | 3 | 8 | | |
| – | 3 | 6 | | |
| | | 2 | 9 | |
STEP 9: DIVIDE 29 : 12 = 2 with a remainder of 5
|
| | 0 | 3 | 2 | |
1 | 2 | 3 | 8 | 9 | 1 |
| – | 0 | | | |
| | 3 | 8 | | |
| – | 3 | 6 | | |
| | | 2 | 9 | |
STEP 10: MULTIPLY 2 · 12 = 24
|
| | 0 | 3 | 2 | |
1 | 2 | 3 | 8 | 9 | 1 |
| – | 0 | | | |
| | 3 | 8 | | |
| – | 3 | 6 | | |
| | | 2 | 9 | |
| | | 2 | 4 | |
STEP 11: SUBTRACT 29 - 24 = 5
|
| | 0 | 3 | 2 | |
1 | 2 | 3 | 8 | 9 | 1 |
| – | 0 | | | |
| | 3 | 8 | | |
| – | 3 | 6 | | |
| | | 2 | 9 | |
| | – | 2 | 4 | |
| | | | 5 | |
STEP 12: BRING DOWN
|
| | 0 | 3 | 2 | |
1 | 2 | 3 | 8 | 9 | 1 |
| – | 0 | | | |
| | 3 | 8 | | |
| – | 3 | 6 | | |
| | | 2 | 9 | |
| | – | 2 | 4 | |
| | | | 5 | 1 |
STEP 13: DIVIDE 51 : 12 = 4 with a remainder of 3
|
| | 0 | 3 | 2 | 4 |
1 | 2 | 3 | 8 | 9 | 1 |
| – | 0 | | | |
| | 3 | 8 | | |
| – | 3 | 6 | | |
| | | 2 | 9 | |
| | – | 2 | 4 | |
| | | | 5 | 1 |
STEP 14: MULTIPLY 4 · 12 = 48
|
| | 0 | 3 | 2 | 4 |
1 | 2 | 3 | 8 | 9 | 1 |
| – | 0 | | | |
| | 3 | 8 | | |
| – | 3 | 6 | | |
| | | 2 | 9 | |
| | – | 2 | 4 | |
| | | | 5 | 1 |
| | | | 4 | 8 |
STEP 15: SUBTRACT 51 - 48 = 3
|
| | 0 | 3 | 2 | 4 |
1 | 2 | 3 | 8 | 9 | 1 |
| – | 0 | | | |
| | 3 | 8 | | |
| – | 3 | 6 | | |
| | | 2 | 9 | |
| | – | 2 | 4 | |
| | | | 5 | 1 |
| | | – | 4 | 8 |
| | | | | 3 |
STEP 15: SUBTRACT 51 - 48 = 3
|
| | 0 | 3 | 2 | 4 |
1 | 2 | 3 | 8 | 9 | 1 |
| – | 0 | | | |
| | 3 | 8 | | |
| – | 3 | 6 | | |
| | | 2 | 9 | |
| | – | 2 | 4 | |
| | | | 5 | 1 |
| | | – | 4 | 8 |
| | | | | 3 |
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