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Question
What is the quotient and remainder when $ 6270 $ is divided by $ 44 $ ?
Answer
The quotient is 142 and the remainder is 22.
Explanation
|
Division Table
|
| | | 0 | 1 | 4 | 2 |
| 4 | 4 | 6 | 2 | 7 | 0 |
| | – | 0 | | | |
| | | 6 | 2 | | |
| | – | 4 | 4 | | |
| | | 1 | 8 | 7 | |
| | – | 1 | 7 | 6 | |
| | | | 1 | 1 | 0 |
| | | | – | 8 | 8 |
| | | | | 2 | 2 |
STEP 0: set up a division table
|
| | | | | | |
| 4 | 4 | 6 | 2 | 7 | 0 |
STEP 1: DIVIDE 6 : 44 = 0 with a remainder of 6
|
| | | 0 | | | |
| 4 | 4 | 6 | 2 | 7 | 0 |
STEP 2: MULTIPLY 0 · 44 = 0
|
| | | 0 | | | |
| 4 | 4 | 6 | 2 | 7 | 0 |
| | | 0 | | | |
STEP 3: SUBTRACT 6 - 0 = 6
|
| | | 0 | | | |
| 4 | 4 | 6 | 2 | 7 | 0 |
| | – | 0 | | | |
| | | 6 | | | |
|
STEP 4: BRING DOWN
|
| | | 0 | | | |
| 4 | 4 | 6 | 2 | 7 | 0 |
| | – | 0 | | | |
| | | 6 | 2 | | |
STEP 5: DIVIDE 62 : 44 = 1 with a remainder of 18
|
| | | 0 | 1 | | |
| 4 | 4 | 6 | 2 | 7 | 0 |
| | – | 0 | | | |
| | | 6 | 2 | | |
STEP 6: MULTIPLY 1 · 44 = 44
|
| | | 0 | 1 | | |
| 4 | 4 | 6 | 2 | 7 | 0 |
| | – | 0 | | | |
| | | 6 | 2 | | |
| | | 4 | 4 | | |
STEP 7: SUBTRACT 62 - 44 = 18
|
| | | 0 | 1 | | |
| 4 | 4 | 6 | 2 | 7 | 0 |
| | – | 0 | | | |
| | | 6 | 2 | | |
| | – | 4 | 4 | | |
| | | 1 | 8 | | |
|
STEP 8: BRING DOWN
|
| | | 0 | 1 | | |
| 4 | 4 | 6 | 2 | 7 | 0 |
| | – | 0 | | | |
| | | 6 | 2 | | |
| | – | 4 | 4 | | |
| | | 1 | 8 | 7 | |
STEP 9: DIVIDE 187 : 44 = 4 with a remainder of 11
|
| | | 0 | 1 | 4 | |
| 4 | 4 | 6 | 2 | 7 | 0 |
| | – | 0 | | | |
| | | 6 | 2 | | |
| | – | 4 | 4 | | |
| | | 1 | 8 | 7 | |
STEP 10: MULTIPLY 4 · 44 = 176
|
| | | 0 | 1 | 4 | |
| 4 | 4 | 6 | 2 | 7 | 0 |
| | – | 0 | | | |
| | | 6 | 2 | | |
| | – | 4 | 4 | | |
| | | 1 | 8 | 7 | |
| | | 1 | 7 | 6 | |
STEP 11: SUBTRACT 187 - 176 = 11
|
| | | 0 | 1 | 4 | |
| 4 | 4 | 6 | 2 | 7 | 0 |
| | – | 0 | | | |
| | | 6 | 2 | | |
| | – | 4 | 4 | | |
| | | 1 | 8 | 7 | |
| | – | 1 | 7 | 6 | |
| | | | 1 | 1 | |
|
STEP 12: BRING DOWN
|
| | | 0 | 1 | 4 | |
| 4 | 4 | 6 | 2 | 7 | 0 |
| | – | 0 | | | |
| | | 6 | 2 | | |
| | – | 4 | 4 | | |
| | | 1 | 8 | 7 | |
| | – | 1 | 7 | 6 | |
| | | | 1 | 1 | 0 |
STEP 13: DIVIDE 110 : 44 = 2 with a remainder of 22
|
| | | 0 | 1 | 4 | 2 |
| 4 | 4 | 6 | 2 | 7 | 0 |
| | – | 0 | | | |
| | | 6 | 2 | | |
| | – | 4 | 4 | | |
| | | 1 | 8 | 7 | |
| | – | 1 | 7 | 6 | |
| | | | 1 | 1 | 0 |
STEP 14: MULTIPLY 2 · 44 = 88
|
| | | 0 | 1 | 4 | 2 |
| 4 | 4 | 6 | 2 | 7 | 0 |
| | – | 0 | | | |
| | | 6 | 2 | | |
| | – | 4 | 4 | | |
| | | 1 | 8 | 7 | |
| | – | 1 | 7 | 6 | |
| | | | 1 | 1 | 0 |
| | | | | 8 | 8 |
STEP 15: SUBTRACT 110 - 88 = 22
|
| | | 0 | 1 | 4 | 2 |
| 4 | 4 | 6 | 2 | 7 | 0 |
| | – | 0 | | | |
| | | 6 | 2 | | |
| | – | 4 | 4 | | |
| | | 1 | 8 | 7 | |
| | – | 1 | 7 | 6 | |
| | | | 1 | 1 | 0 |
| | | | – | 8 | 8 |
| | | | | 2 | 2 |
STEP 15: SUBTRACT 110 - 88 = 22
|
| | | 0 | 1 | 4 | 2 |
| 4 | 4 | 6 | 2 | 7 | 0 |
| | – | 0 | | | |
| | | 6 | 2 | | |
| | – | 4 | 4 | | |
| | | 1 | 8 | 7 | |
| | – | 1 | 7 | 6 | |
| | | | 1 | 1 | 0 |
| | | | – | 8 | 8 |
| | | | | 2 | 2 |
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