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Question
What is the quotient and remainder when $ 6668 $ is divided by $ 44 $ ?
Answer
The quotient is 151 and the remainder is 24.
Explanation
|
Division Table
|
| | | 0 | 1 | 5 | 1 |
| 4 | 4 | 6 | 6 | 6 | 8 |
| | – | 0 | | | |
| | | 6 | 6 | | |
| | – | 4 | 4 | | |
| | | 2 | 2 | 6 | |
| | – | 2 | 2 | 0 | |
| | | | | 6 | 8 |
| | | | – | 4 | 4 |
| | | | | 2 | 4 |
STEP 0: set up a division table
|
| | | | | | |
| 4 | 4 | 6 | 6 | 6 | 8 |
STEP 1: DIVIDE 6 : 44 = 0 with a remainder of 6
|
| | | 0 | | | |
| 4 | 4 | 6 | 6 | 6 | 8 |
STEP 2: MULTIPLY 0 · 44 = 0
|
| | | 0 | | | |
| 4 | 4 | 6 | 6 | 6 | 8 |
| | | 0 | | | |
STEP 3: SUBTRACT 6 - 0 = 6
|
| | | 0 | | | |
| 4 | 4 | 6 | 6 | 6 | 8 |
| | – | 0 | | | |
| | | 6 | | | |
|
STEP 4: BRING DOWN
|
| | | 0 | | | |
| 4 | 4 | 6 | 6 | 6 | 8 |
| | – | 0 | | | |
| | | 6 | 6 | | |
STEP 5: DIVIDE 66 : 44 = 1 with a remainder of 22
|
| | | 0 | 1 | | |
| 4 | 4 | 6 | 6 | 6 | 8 |
| | – | 0 | | | |
| | | 6 | 6 | | |
STEP 6: MULTIPLY 1 · 44 = 44
|
| | | 0 | 1 | | |
| 4 | 4 | 6 | 6 | 6 | 8 |
| | – | 0 | | | |
| | | 6 | 6 | | |
| | | 4 | 4 | | |
STEP 7: SUBTRACT 66 - 44 = 22
|
| | | 0 | 1 | | |
| 4 | 4 | 6 | 6 | 6 | 8 |
| | – | 0 | | | |
| | | 6 | 6 | | |
| | – | 4 | 4 | | |
| | | 2 | 2 | | |
|
STEP 8: BRING DOWN
|
| | | 0 | 1 | | |
| 4 | 4 | 6 | 6 | 6 | 8 |
| | – | 0 | | | |
| | | 6 | 6 | | |
| | – | 4 | 4 | | |
| | | 2 | 2 | 6 | |
STEP 9: DIVIDE 226 : 44 = 5 with a remainder of 6
|
| | | 0 | 1 | 5 | |
| 4 | 4 | 6 | 6 | 6 | 8 |
| | – | 0 | | | |
| | | 6 | 6 | | |
| | – | 4 | 4 | | |
| | | 2 | 2 | 6 | |
STEP 10: MULTIPLY 5 · 44 = 220
|
| | | 0 | 1 | 5 | |
| 4 | 4 | 6 | 6 | 6 | 8 |
| | – | 0 | | | |
| | | 6 | 6 | | |
| | – | 4 | 4 | | |
| | | 2 | 2 | 6 | |
| | | 2 | 2 | 0 | |
STEP 11: SUBTRACT 226 - 220 = 6
|
| | | 0 | 1 | 5 | |
| 4 | 4 | 6 | 6 | 6 | 8 |
| | – | 0 | | | |
| | | 6 | 6 | | |
| | – | 4 | 4 | | |
| | | 2 | 2 | 6 | |
| | – | 2 | 2 | 0 | |
| | | | | 6 | |
|
STEP 12: BRING DOWN
|
| | | 0 | 1 | 5 | |
| 4 | 4 | 6 | 6 | 6 | 8 |
| | – | 0 | | | |
| | | 6 | 6 | | |
| | – | 4 | 4 | | |
| | | 2 | 2 | 6 | |
| | – | 2 | 2 | 0 | |
| | | | | 6 | 8 |
STEP 13: DIVIDE 68 : 44 = 1 with a remainder of 24
|
| | | 0 | 1 | 5 | 1 |
| 4 | 4 | 6 | 6 | 6 | 8 |
| | – | 0 | | | |
| | | 6 | 6 | | |
| | – | 4 | 4 | | |
| | | 2 | 2 | 6 | |
| | – | 2 | 2 | 0 | |
| | | | | 6 | 8 |
STEP 14: MULTIPLY 1 · 44 = 44
|
| | | 0 | 1 | 5 | 1 |
| 4 | 4 | 6 | 6 | 6 | 8 |
| | – | 0 | | | |
| | | 6 | 6 | | |
| | – | 4 | 4 | | |
| | | 2 | 2 | 6 | |
| | – | 2 | 2 | 0 | |
| | | | | 6 | 8 |
| | | | | 4 | 4 |
STEP 15: SUBTRACT 68 - 44 = 24
|
| | | 0 | 1 | 5 | 1 |
| 4 | 4 | 6 | 6 | 6 | 8 |
| | – | 0 | | | |
| | | 6 | 6 | | |
| | – | 4 | 4 | | |
| | | 2 | 2 | 6 | |
| | – | 2 | 2 | 0 | |
| | | | | 6 | 8 |
| | | | – | 4 | 4 |
| | | | | 2 | 4 |
STEP 15: SUBTRACT 68 - 44 = 24
|
| | | 0 | 1 | 5 | 1 |
| 4 | 4 | 6 | 6 | 6 | 8 |
| | – | 0 | | | |
| | | 6 | 6 | | |
| | – | 4 | 4 | | |
| | | 2 | 2 | 6 | |
| | – | 2 | 2 | 0 | |
| | | | | 6 | 8 |
| | | | – | 4 | 4 |
| | | | | 2 | 4 |
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