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Question
What is the quotient and remainder when $ 6337 $ is divided by $ 28 $ ?
Answer
The quotient is 226 and the remainder is 9.
Explanation
|
Division Table
|
| | | 0 | 2 | 2 | 6 |
| 2 | 8 | 6 | 3 | 3 | 7 |
| | – | 0 | | | |
| | | 6 | 3 | | |
| | – | 5 | 6 | | |
| | | | 7 | 3 | |
| | | – | 5 | 6 | |
| | | | 1 | 7 | 7 |
| | | – | 1 | 6 | 8 |
| | | | | | 9 |
STEP 0: set up a division table
|
| | | | | | |
| 2 | 8 | 6 | 3 | 3 | 7 |
STEP 1: DIVIDE 6 : 28 = 0 with a remainder of 6
|
| | | 0 | | | |
| 2 | 8 | 6 | 3 | 3 | 7 |
STEP 2: MULTIPLY 0 · 28 = 0
|
| | | 0 | | | |
| 2 | 8 | 6 | 3 | 3 | 7 |
| | | 0 | | | |
STEP 3: SUBTRACT 6 - 0 = 6
|
| | | 0 | | | |
| 2 | 8 | 6 | 3 | 3 | 7 |
| | – | 0 | | | |
| | | 6 | | | |
|
STEP 4: BRING DOWN
|
| | | 0 | | | |
| 2 | 8 | 6 | 3 | 3 | 7 |
| | – | 0 | | | |
| | | 6 | 3 | | |
STEP 5: DIVIDE 63 : 28 = 2 with a remainder of 7
|
| | | 0 | 2 | | |
| 2 | 8 | 6 | 3 | 3 | 7 |
| | – | 0 | | | |
| | | 6 | 3 | | |
STEP 6: MULTIPLY 2 · 28 = 56
|
| | | 0 | 2 | | |
| 2 | 8 | 6 | 3 | 3 | 7 |
| | – | 0 | | | |
| | | 6 | 3 | | |
| | | 5 | 6 | | |
STEP 7: SUBTRACT 63 - 56 = 7
|
| | | 0 | 2 | | |
| 2 | 8 | 6 | 3 | 3 | 7 |
| | – | 0 | | | |
| | | 6 | 3 | | |
| | – | 5 | 6 | | |
| | | | 7 | | |
|
STEP 8: BRING DOWN
|
| | | 0 | 2 | | |
| 2 | 8 | 6 | 3 | 3 | 7 |
| | – | 0 | | | |
| | | 6 | 3 | | |
| | – | 5 | 6 | | |
| | | | 7 | 3 | |
STEP 9: DIVIDE 73 : 28 = 2 with a remainder of 17
|
| | | 0 | 2 | 2 | |
| 2 | 8 | 6 | 3 | 3 | 7 |
| | – | 0 | | | |
| | | 6 | 3 | | |
| | – | 5 | 6 | | |
| | | | 7 | 3 | |
STEP 10: MULTIPLY 2 · 28 = 56
|
| | | 0 | 2 | 2 | |
| 2 | 8 | 6 | 3 | 3 | 7 |
| | – | 0 | | | |
| | | 6 | 3 | | |
| | – | 5 | 6 | | |
| | | | 7 | 3 | |
| | | | 5 | 6 | |
STEP 11: SUBTRACT 73 - 56 = 17
|
| | | 0 | 2 | 2 | |
| 2 | 8 | 6 | 3 | 3 | 7 |
| | – | 0 | | | |
| | | 6 | 3 | | |
| | – | 5 | 6 | | |
| | | | 7 | 3 | |
| | | – | 5 | 6 | |
| | | | 1 | 7 | |
|
STEP 12: BRING DOWN
|
| | | 0 | 2 | 2 | |
| 2 | 8 | 6 | 3 | 3 | 7 |
| | – | 0 | | | |
| | | 6 | 3 | | |
| | – | 5 | 6 | | |
| | | | 7 | 3 | |
| | | – | 5 | 6 | |
| | | | 1 | 7 | 7 |
STEP 13: DIVIDE 177 : 28 = 6 with a remainder of 9
|
| | | 0 | 2 | 2 | 6 |
| 2 | 8 | 6 | 3 | 3 | 7 |
| | – | 0 | | | |
| | | 6 | 3 | | |
| | – | 5 | 6 | | |
| | | | 7 | 3 | |
| | | – | 5 | 6 | |
| | | | 1 | 7 | 7 |
STEP 14: MULTIPLY 6 · 28 = 168
|
| | | 0 | 2 | 2 | 6 |
| 2 | 8 | 6 | 3 | 3 | 7 |
| | – | 0 | | | |
| | | 6 | 3 | | |
| | – | 5 | 6 | | |
| | | | 7 | 3 | |
| | | – | 5 | 6 | |
| | | | 1 | 7 | 7 |
| | | | 1 | 6 | 8 |
STEP 15: SUBTRACT 177 - 168 = 9
|
| | | 0 | 2 | 2 | 6 |
| 2 | 8 | 6 | 3 | 3 | 7 |
| | – | 0 | | | |
| | | 6 | 3 | | |
| | – | 5 | 6 | | |
| | | | 7 | 3 | |
| | | – | 5 | 6 | |
| | | | 1 | 7 | 7 |
| | | – | 1 | 6 | 8 |
| | | | | | 9 |
STEP 15: SUBTRACT 177 - 168 = 9
|
| | | 0 | 2 | 2 | 6 |
| 2 | 8 | 6 | 3 | 3 | 7 |
| | – | 0 | | | |
| | | 6 | 3 | | |
| | – | 5 | 6 | | |
| | | | 7 | 3 | |
| | | – | 5 | 6 | |
| | | | 1 | 7 | 7 |
| | | – | 1 | 6 | 8 |
| | | | | | 9 |
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