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Question
What is the quotient and remainder when $ 7388 $ is divided by $ 12 $ ?
Answer
The quotient is 615 and the remainder is 8.
Explanation
|
Division Table
|
| | | 0 | 6 | 1 | 5 |
| 1 | 2 | 7 | 3 | 8 | 8 |
| | – | 0 | | | |
| | | 7 | 3 | | |
| | – | 7 | 2 | | |
| | | | 1 | 8 | |
| | | – | 1 | 2 | |
| | | | | 6 | 8 |
| | | | – | 6 | 0 |
| | | | | | 8 |
STEP 0: set up a division table
|
| | | | | | |
| 1 | 2 | 7 | 3 | 8 | 8 |
STEP 1: DIVIDE 7 : 12 = 0 with a remainder of 7
|
| | | 0 | | | |
| 1 | 2 | 7 | 3 | 8 | 8 |
STEP 2: MULTIPLY 0 · 12 = 0
|
| | | 0 | | | |
| 1 | 2 | 7 | 3 | 8 | 8 |
| | | 0 | | | |
STEP 3: SUBTRACT 7 - 0 = 7
|
| | | 0 | | | |
| 1 | 2 | 7 | 3 | 8 | 8 |
| | – | 0 | | | |
| | | 7 | | | |
|
STEP 4: BRING DOWN
|
| | | 0 | | | |
| 1 | 2 | 7 | 3 | 8 | 8 |
| | – | 0 | | | |
| | | 7 | 3 | | |
STEP 5: DIVIDE 73 : 12 = 6 with a remainder of 1
|
| | | 0 | 6 | | |
| 1 | 2 | 7 | 3 | 8 | 8 |
| | – | 0 | | | |
| | | 7 | 3 | | |
STEP 6: MULTIPLY 6 · 12 = 72
|
| | | 0 | 6 | | |
| 1 | 2 | 7 | 3 | 8 | 8 |
| | – | 0 | | | |
| | | 7 | 3 | | |
| | | 7 | 2 | | |
STEP 7: SUBTRACT 73 - 72 = 1
|
| | | 0 | 6 | | |
| 1 | 2 | 7 | 3 | 8 | 8 |
| | – | 0 | | | |
| | | 7 | 3 | | |
| | – | 7 | 2 | | |
| | | | 1 | | |
|
STEP 8: BRING DOWN
|
| | | 0 | 6 | | |
| 1 | 2 | 7 | 3 | 8 | 8 |
| | – | 0 | | | |
| | | 7 | 3 | | |
| | – | 7 | 2 | | |
| | | | 1 | 8 | |
STEP 9: DIVIDE 18 : 12 = 1 with a remainder of 6
|
| | | 0 | 6 | 1 | |
| 1 | 2 | 7 | 3 | 8 | 8 |
| | – | 0 | | | |
| | | 7 | 3 | | |
| | – | 7 | 2 | | |
| | | | 1 | 8 | |
STEP 10: MULTIPLY 1 · 12 = 12
|
| | | 0 | 6 | 1 | |
| 1 | 2 | 7 | 3 | 8 | 8 |
| | – | 0 | | | |
| | | 7 | 3 | | |
| | – | 7 | 2 | | |
| | | | 1 | 8 | |
| | | | 1 | 2 | |
STEP 11: SUBTRACT 18 - 12 = 6
|
| | | 0 | 6 | 1 | |
| 1 | 2 | 7 | 3 | 8 | 8 |
| | – | 0 | | | |
| | | 7 | 3 | | |
| | – | 7 | 2 | | |
| | | | 1 | 8 | |
| | | – | 1 | 2 | |
| | | | | 6 | |
|
STEP 12: BRING DOWN
|
| | | 0 | 6 | 1 | |
| 1 | 2 | 7 | 3 | 8 | 8 |
| | – | 0 | | | |
| | | 7 | 3 | | |
| | – | 7 | 2 | | |
| | | | 1 | 8 | |
| | | – | 1 | 2 | |
| | | | | 6 | 8 |
STEP 13: DIVIDE 68 : 12 = 5 with a remainder of 8
|
| | | 0 | 6 | 1 | 5 |
| 1 | 2 | 7 | 3 | 8 | 8 |
| | – | 0 | | | |
| | | 7 | 3 | | |
| | – | 7 | 2 | | |
| | | | 1 | 8 | |
| | | – | 1 | 2 | |
| | | | | 6 | 8 |
STEP 14: MULTIPLY 5 · 12 = 60
|
| | | 0 | 6 | 1 | 5 |
| 1 | 2 | 7 | 3 | 8 | 8 |
| | – | 0 | | | |
| | | 7 | 3 | | |
| | – | 7 | 2 | | |
| | | | 1 | 8 | |
| | | – | 1 | 2 | |
| | | | | 6 | 8 |
| | | | | 6 | 0 |
STEP 15: SUBTRACT 68 - 60 = 8
|
| | | 0 | 6 | 1 | 5 |
| 1 | 2 | 7 | 3 | 8 | 8 |
| | – | 0 | | | |
| | | 7 | 3 | | |
| | – | 7 | 2 | | |
| | | | 1 | 8 | |
| | | – | 1 | 2 | |
| | | | | 6 | 8 |
| | | | – | 6 | 0 |
| | | | | | 8 |
STEP 15: SUBTRACT 68 - 60 = 8
|
| | | 0 | 6 | 1 | 5 |
| 1 | 2 | 7 | 3 | 8 | 8 |
| | – | 0 | | | |
| | | 7 | 3 | | |
| | – | 7 | 2 | | |
| | | | 1 | 8 | |
| | | – | 1 | 2 | |
| | | | | 6 | 8 |
| | | | – | 6 | 0 |
| | | | | | 8 |
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