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Question
What is the quotient and remainder when $ 872 $ is divided by $ 72 $ ?
Answer
The quotient is 12 and the remainder is 8.
Explanation
|
Division Table
|
| | | 0 | 1 | 2 |
| 7 | 2 | 8 | 7 | 2 |
| | – | 0 | | |
| | | 8 | 7 | |
| | – | 7 | 2 | |
| | | 1 | 5 | 2 |
| | – | 1 | 4 | 4 |
| | | | | 8 |
STEP 0: set up a division table
|
| | | | | |
| 7 | 2 | 8 | 7 | 2 |
STEP 1: DIVIDE 8 : 72 = 0 with a remainder of 8
|
| | | 0 | | |
| 7 | 2 | 8 | 7 | 2 |
STEP 2: MULTIPLY 0 · 72 = 0
|
| | | 0 | | |
| 7 | 2 | 8 | 7 | 2 |
| | | 0 | | |
STEP 3: SUBTRACT 8 - 0 = 8
|
| | | 0 | | |
| 7 | 2 | 8 | 7 | 2 |
| | – | 0 | | |
| | | 8 | | |
|
STEP 4: BRING DOWN
|
| | | 0 | | |
| 7 | 2 | 8 | 7 | 2 |
| | – | 0 | | |
| | | 8 | 7 | |
STEP 5: DIVIDE 87 : 72 = 1 with a remainder of 15
|
| | | 0 | 1 | |
| 7 | 2 | 8 | 7 | 2 |
| | – | 0 | | |
| | | 8 | 7 | |
STEP 6: MULTIPLY 1 · 72 = 72
|
| | | 0 | 1 | |
| 7 | 2 | 8 | 7 | 2 |
| | – | 0 | | |
| | | 8 | 7 | |
| | | 7 | 2 | |
STEP 7: SUBTRACT 87 - 72 = 15
|
| | | 0 | 1 | |
| 7 | 2 | 8 | 7 | 2 |
| | – | 0 | | |
| | | 8 | 7 | |
| | – | 7 | 2 | |
| | | 1 | 5 | |
|
STEP 8: BRING DOWN
|
| | | 0 | 1 | |
| 7 | 2 | 8 | 7 | 2 |
| | – | 0 | | |
| | | 8 | 7 | |
| | – | 7 | 2 | |
| | | 1 | 5 | 2 |
STEP 9: DIVIDE 152 : 72 = 2 with a remainder of 8
|
| | | 0 | 1 | 2 |
| 7 | 2 | 8 | 7 | 2 |
| | – | 0 | | |
| | | 8 | 7 | |
| | – | 7 | 2 | |
| | | 1 | 5 | 2 |
STEP 10: MULTIPLY 2 · 72 = 144
|
| | | 0 | 1 | 2 |
| 7 | 2 | 8 | 7 | 2 |
| | – | 0 | | |
| | | 8 | 7 | |
| | – | 7 | 2 | |
| | | 1 | 5 | 2 |
| | | 1 | 4 | 4 |
STEP 11: SUBTRACT 152 - 144 = 8
|
| | | 0 | 1 | 2 |
| 7 | 2 | 8 | 7 | 2 |
| | – | 0 | | |
| | | 8 | 7 | |
| | – | 7 | 2 | |
| | | 1 | 5 | 2 |
| | – | 1 | 4 | 4 |
| | | | | 8 |
STEP 11: SUBTRACT 152 - 144 = 8
|
| | | 0 | 1 | 2 |
| 7 | 2 | 8 | 7 | 2 |
| | – | 0 | | |
| | | 8 | 7 | |
| | – | 7 | 2 | |
| | | 1 | 5 | 2 |
| | – | 1 | 4 | 4 |
| | | | | 8 |
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