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Question
What is the quotient and remainder when $ 9663 $ is divided by $ 28 $ ?
Answer
The quotient is 345 and the remainder is 3.
Explanation
|
Division Table
|
| | | 0 | 3 | 4 | 5 |
| 2 | 8 | 9 | 6 | 6 | 3 |
| | – | 0 | | | |
| | | 9 | 6 | | |
| | – | 8 | 4 | | |
| | | 1 | 2 | 6 | |
| | – | 1 | 1 | 2 | |
| | | | 1 | 4 | 3 |
| | | – | 1 | 4 | 0 |
| | | | | | 3 |
STEP 0: set up a division table
|
| | | | | | |
| 2 | 8 | 9 | 6 | 6 | 3 |
STEP 1: DIVIDE 9 : 28 = 0 with a remainder of 9
|
| | | 0 | | | |
| 2 | 8 | 9 | 6 | 6 | 3 |
STEP 2: MULTIPLY 0 · 28 = 0
|
| | | 0 | | | |
| 2 | 8 | 9 | 6 | 6 | 3 |
| | | 0 | | | |
STEP 3: SUBTRACT 9 - 0 = 9
|
| | | 0 | | | |
| 2 | 8 | 9 | 6 | 6 | 3 |
| | – | 0 | | | |
| | | 9 | | | |
|
STEP 4: BRING DOWN
|
| | | 0 | | | |
| 2 | 8 | 9 | 6 | 6 | 3 |
| | – | 0 | | | |
| | | 9 | 6 | | |
STEP 5: DIVIDE 96 : 28 = 3 with a remainder of 12
|
| | | 0 | 3 | | |
| 2 | 8 | 9 | 6 | 6 | 3 |
| | – | 0 | | | |
| | | 9 | 6 | | |
STEP 6: MULTIPLY 3 · 28 = 84
|
| | | 0 | 3 | | |
| 2 | 8 | 9 | 6 | 6 | 3 |
| | – | 0 | | | |
| | | 9 | 6 | | |
| | | 8 | 4 | | |
STEP 7: SUBTRACT 96 - 84 = 12
|
| | | 0 | 3 | | |
| 2 | 8 | 9 | 6 | 6 | 3 |
| | – | 0 | | | |
| | | 9 | 6 | | |
| | – | 8 | 4 | | |
| | | 1 | 2 | | |
|
STEP 8: BRING DOWN
|
| | | 0 | 3 | | |
| 2 | 8 | 9 | 6 | 6 | 3 |
| | – | 0 | | | |
| | | 9 | 6 | | |
| | – | 8 | 4 | | |
| | | 1 | 2 | 6 | |
STEP 9: DIVIDE 126 : 28 = 4 with a remainder of 14
|
| | | 0 | 3 | 4 | |
| 2 | 8 | 9 | 6 | 6 | 3 |
| | – | 0 | | | |
| | | 9 | 6 | | |
| | – | 8 | 4 | | |
| | | 1 | 2 | 6 | |
STEP 10: MULTIPLY 4 · 28 = 112
|
| | | 0 | 3 | 4 | |
| 2 | 8 | 9 | 6 | 6 | 3 |
| | – | 0 | | | |
| | | 9 | 6 | | |
| | – | 8 | 4 | | |
| | | 1 | 2 | 6 | |
| | | 1 | 1 | 2 | |
STEP 11: SUBTRACT 126 - 112 = 14
|
| | | 0 | 3 | 4 | |
| 2 | 8 | 9 | 6 | 6 | 3 |
| | – | 0 | | | |
| | | 9 | 6 | | |
| | – | 8 | 4 | | |
| | | 1 | 2 | 6 | |
| | – | 1 | 1 | 2 | |
| | | | 1 | 4 | |
|
STEP 12: BRING DOWN
|
| | | 0 | 3 | 4 | |
| 2 | 8 | 9 | 6 | 6 | 3 |
| | – | 0 | | | |
| | | 9 | 6 | | |
| | – | 8 | 4 | | |
| | | 1 | 2 | 6 | |
| | – | 1 | 1 | 2 | |
| | | | 1 | 4 | 3 |
STEP 13: DIVIDE 143 : 28 = 5 with a remainder of 3
|
| | | 0 | 3 | 4 | 5 |
| 2 | 8 | 9 | 6 | 6 | 3 |
| | – | 0 | | | |
| | | 9 | 6 | | |
| | – | 8 | 4 | | |
| | | 1 | 2 | 6 | |
| | – | 1 | 1 | 2 | |
| | | | 1 | 4 | 3 |
STEP 14: MULTIPLY 5 · 28 = 140
|
| | | 0 | 3 | 4 | 5 |
| 2 | 8 | 9 | 6 | 6 | 3 |
| | – | 0 | | | |
| | | 9 | 6 | | |
| | – | 8 | 4 | | |
| | | 1 | 2 | 6 | |
| | – | 1 | 1 | 2 | |
| | | | 1 | 4 | 3 |
| | | | 1 | 4 | 0 |
STEP 15: SUBTRACT 143 - 140 = 3
|
| | | 0 | 3 | 4 | 5 |
| 2 | 8 | 9 | 6 | 6 | 3 |
| | – | 0 | | | |
| | | 9 | 6 | | |
| | – | 8 | 4 | | |
| | | 1 | 2 | 6 | |
| | – | 1 | 1 | 2 | |
| | | | 1 | 4 | 3 |
| | | – | 1 | 4 | 0 |
| | | | | | 3 |
STEP 15: SUBTRACT 143 - 140 = 3
|
| | | 0 | 3 | 4 | 5 |
| 2 | 8 | 9 | 6 | 6 | 3 |
| | – | 0 | | | |
| | | 9 | 6 | | |
| | – | 8 | 4 | | |
| | | 1 | 2 | 6 | |
| | – | 1 | 1 | 2 | |
| | | | 1 | 4 | 3 |
| | | – | 1 | 4 | 0 |
| | | | | | 3 |
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