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Question
What is the quotient and remainder when $ 700 $ is divided by $ 12 $ ?
Answer
The quotient is 58 and the remainder is 4.
Explanation
|
Division Table
|
| | | 0 | 5 | 8 |
| 1 | 2 | 7 | 0 | 0 |
| | – | 0 | | |
| | | 7 | 0 | |
| | – | 6 | 0 | |
| | | 1 | 0 | 0 |
| | | – | 9 | 6 |
| | | | | 4 |
STEP 0: set up a division table
|
| | | | | |
| 1 | 2 | 7 | 0 | 0 |
STEP 1: DIVIDE 7 : 12 = 0 with a remainder of 7
|
| | | 0 | | |
| 1 | 2 | 7 | 0 | 0 |
STEP 2: MULTIPLY 0 · 12 = 0
|
| | | 0 | | |
| 1 | 2 | 7 | 0 | 0 |
| | | 0 | | |
STEP 3: SUBTRACT 7 - 0 = 7
|
| | | 0 | | |
| 1 | 2 | 7 | 0 | 0 |
| | – | 0 | | |
| | | 7 | | |
|
STEP 4: BRING DOWN
|
| | | 0 | | |
| 1 | 2 | 7 | 0 | 0 |
| | – | 0 | | |
| | | 7 | 0 | |
STEP 5: DIVIDE 70 : 12 = 5 with a remainder of 10
|
| | | 0 | 5 | |
| 1 | 2 | 7 | 0 | 0 |
| | – | 0 | | |
| | | 7 | 0 | |
STEP 6: MULTIPLY 5 · 12 = 60
|
| | | 0 | 5 | |
| 1 | 2 | 7 | 0 | 0 |
| | – | 0 | | |
| | | 7 | 0 | |
| | | 6 | 0 | |
STEP 7: SUBTRACT 70 - 60 = 10
|
| | | 0 | 5 | |
| 1 | 2 | 7 | 0 | 0 |
| | – | 0 | | |
| | | 7 | 0 | |
| | – | 6 | 0 | |
| | | 1 | 0 | |
|
STEP 8: BRING DOWN
|
| | | 0 | 5 | |
| 1 | 2 | 7 | 0 | 0 |
| | – | 0 | | |
| | | 7 | 0 | |
| | – | 6 | 0 | |
| | | 1 | 0 | 0 |
STEP 9: DIVIDE 100 : 12 = 8 with a remainder of 4
|
| | | 0 | 5 | 8 |
| 1 | 2 | 7 | 0 | 0 |
| | – | 0 | | |
| | | 7 | 0 | |
| | – | 6 | 0 | |
| | | 1 | 0 | 0 |
STEP 10: MULTIPLY 8 · 12 = 96
|
| | | 0 | 5 | 8 |
| 1 | 2 | 7 | 0 | 0 |
| | – | 0 | | |
| | | 7 | 0 | |
| | – | 6 | 0 | |
| | | 1 | 0 | 0 |
| | | | 9 | 6 |
STEP 11: SUBTRACT 100 - 96 = 4
|
| | | 0 | 5 | 8 |
| 1 | 2 | 7 | 0 | 0 |
| | – | 0 | | |
| | | 7 | 0 | |
| | – | 6 | 0 | |
| | | 1 | 0 | 0 |
| | | – | 9 | 6 |
| | | | | 4 |
STEP 11: SUBTRACT 100 - 96 = 4
|
| | | 0 | 5 | 8 |
| 1 | 2 | 7 | 0 | 0 |
| | – | 0 | | |
| | | 7 | 0 | |
| | – | 6 | 0 | |
| | | 1 | 0 | 0 |
| | | – | 9 | 6 |
| | | | | 4 |
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