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Question
What is the quotient and remainder when $ 2644 $ is divided by $ 88 $ ?
Answer
The quotient is 30 and the remainder is 4.
Explanation
|
Division Table
|
| | | 0 | 0 | 3 | 0 |
| 8 | 8 | 2 | 6 | 4 | 4 |
| | – | 0 | | | |
| | | 2 | 6 | | |
| | | – | 0 | | |
| | | 2 | 6 | 4 | |
| | – | 2 | 6 | 4 | |
| | | | | 4 | |
| | | | – | 0 | |
| | | | | 4 | |
STEP 0: set up a division table
|
| | | | | | |
| 8 | 8 | 2 | 6 | 4 | 4 |
STEP 1: DIVIDE 2 : 88 = 0 with a remainder of 2
|
| | | 0 | | | |
| 8 | 8 | 2 | 6 | 4 | 4 |
STEP 2: MULTIPLY 0 · 88 = 0
|
| | | 0 | | | |
| 8 | 8 | 2 | 6 | 4 | 4 |
| | | 0 | | | |
STEP 3: SUBTRACT 2 - 0 = 2
|
| | | 0 | | | |
| 8 | 8 | 2 | 6 | 4 | 4 |
| | – | 0 | | | |
| | | 2 | | | |
|
STEP 4: BRING DOWN
|
| | | 0 | | | |
| 8 | 8 | 2 | 6 | 4 | 4 |
| | – | 0 | | | |
| | | 2 | 6 | | |
STEP 5: DIVIDE 26 : 88 = 0 with a remainder of 26
|
| | | 0 | 0 | | |
| 8 | 8 | 2 | 6 | 4 | 4 |
| | – | 0 | | | |
| | | 2 | 6 | | |
STEP 6: MULTIPLY 0 · 88 = 0
|
| | | 0 | 0 | | |
| 8 | 8 | 2 | 6 | 4 | 4 |
| | – | 0 | | | |
| | | 2 | 6 | | |
| | | | 0 | | |
STEP 7: SUBTRACT 26 - 0 = 26
|
| | | 0 | 0 | | |
| 8 | 8 | 2 | 6 | 4 | 4 |
| | – | 0 | | | |
| | | 2 | 6 | | |
| | | – | 0 | | |
| | | 2 | 6 | | |
|
STEP 8: BRING DOWN
|
| | | 0 | 0 | | |
| 8 | 8 | 2 | 6 | 4 | 4 |
| | – | 0 | | | |
| | | 2 | 6 | | |
| | | – | 0 | | |
| | | 2 | 6 | 4 | |
STEP 9: DIVIDE 264 : 88 = 3 with a remainder of 0
|
| | | 0 | 0 | 3 | |
| 8 | 8 | 2 | 6 | 4 | 4 |
| | – | 0 | | | |
| | | 2 | 6 | | |
| | | – | 0 | | |
| | | 2 | 6 | 4 | |
STEP 10: MULTIPLY 3 · 88 = 264
|
| | | 0 | 0 | 3 | |
| 8 | 8 | 2 | 6 | 4 | 4 |
| | – | 0 | | | |
| | | 2 | 6 | | |
| | | – | 0 | | |
| | | 2 | 6 | 4 | |
| | | 2 | 6 | 4 | |
STEP 11: SUBTRACT 264 - 264 = 0
|
| | | 0 | 0 | 3 | |
| 8 | 8 | 2 | 6 | 4 | 4 |
| | – | 0 | | | |
| | | 2 | 6 | | |
| | | – | 0 | | |
| | | 2 | 6 | 4 | |
| | – | 2 | 6 | 4 | |
| | | | | 0 | |
|
STEP 12: BRING DOWN
|
| | | 0 | 0 | 3 | |
| 8 | 8 | 2 | 6 | 4 | 4 |
| | – | 0 | | | |
| | | 2 | 6 | | |
| | | – | 0 | | |
| | | 2 | 6 | 4 | |
| | – | 2 | 6 | 4 | |
| | | | | 4 | |
STEP 13: DIVIDE 4 : 88 = 0 with a remainder of 4
|
| | | 0 | 0 | 3 | 0 |
| 8 | 8 | 2 | 6 | 4 | 4 |
| | – | 0 | | | |
| | | 2 | 6 | | |
| | | – | 0 | | |
| | | 2 | 6 | 4 | |
| | – | 2 | 6 | 4 | |
| | | | | 4 | |
STEP 14: MULTIPLY 0 · 88 = 0
|
| | | 0 | 0 | 3 | 0 |
| 8 | 8 | 2 | 6 | 4 | 4 |
| | – | 0 | | | |
| | | 2 | 6 | | |
| | | – | 0 | | |
| | | 2 | 6 | 4 | |
| | – | 2 | 6 | 4 | |
| | | | | 4 | |
| | | | | 0 | |
STEP 15: SUBTRACT 4 - 0 = 4
|
| | | 0 | 0 | 3 | 0 |
| 8 | 8 | 2 | 6 | 4 | 4 |
| | – | 0 | | | |
| | | 2 | 6 | | |
| | | – | 0 | | |
| | | 2 | 6 | 4 | |
| | – | 2 | 6 | 4 | |
| | | | | 4 | |
| | | | – | 0 | |
| | | | | 4 | |
STEP 15: SUBTRACT 4 - 0 = 4
|
| | | 0 | 0 | 3 | 0 |
| 8 | 8 | 2 | 6 | 4 | 4 |
| | – | 0 | | | |
| | | 2 | 6 | | |
| | | – | 0 | | |
| | | 2 | 6 | 4 | |
| | – | 2 | 6 | 4 | |
| | | | | 4 | |
| | | | – | 0 | |
| | | | | 4 | |
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