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Question
What is the quotient and remainder when $ 7056 $ is divided by $ 28 $ ?
Answer
The quotient is 252 and the remainder is 0.
Explanation
|
Division Table
|
| | | 0 | 2 | 5 | 2 |
| 2 | 8 | 7 | 0 | 5 | 6 |
| | – | 0 | | | |
| | | 7 | 0 | | |
| | – | 5 | 6 | | |
| | | 1 | 4 | 5 | |
| | – | 1 | 4 | 0 | |
| | | | | 5 | 6 |
| | | | – | 5 | 6 |
| | | | | | 0 |
STEP 0: set up a division table
|
| | | | | | |
| 2 | 8 | 7 | 0 | 5 | 6 |
STEP 1: DIVIDE 7 : 28 = 0 with a remainder of 7
|
| | | 0 | | | |
| 2 | 8 | 7 | 0 | 5 | 6 |
STEP 2: MULTIPLY 0 · 28 = 0
|
| | | 0 | | | |
| 2 | 8 | 7 | 0 | 5 | 6 |
| | | 0 | | | |
STEP 3: SUBTRACT 7 - 0 = 7
|
| | | 0 | | | |
| 2 | 8 | 7 | 0 | 5 | 6 |
| | – | 0 | | | |
| | | 7 | | | |
|
STEP 4: BRING DOWN
|
| | | 0 | | | |
| 2 | 8 | 7 | 0 | 5 | 6 |
| | – | 0 | | | |
| | | 7 | 0 | | |
STEP 5: DIVIDE 70 : 28 = 2 with a remainder of 14
|
| | | 0 | 2 | | |
| 2 | 8 | 7 | 0 | 5 | 6 |
| | – | 0 | | | |
| | | 7 | 0 | | |
STEP 6: MULTIPLY 2 · 28 = 56
|
| | | 0 | 2 | | |
| 2 | 8 | 7 | 0 | 5 | 6 |
| | – | 0 | | | |
| | | 7 | 0 | | |
| | | 5 | 6 | | |
STEP 7: SUBTRACT 70 - 56 = 14
|
| | | 0 | 2 | | |
| 2 | 8 | 7 | 0 | 5 | 6 |
| | – | 0 | | | |
| | | 7 | 0 | | |
| | – | 5 | 6 | | |
| | | 1 | 4 | | |
|
STEP 8: BRING DOWN
|
| | | 0 | 2 | | |
| 2 | 8 | 7 | 0 | 5 | 6 |
| | – | 0 | | | |
| | | 7 | 0 | | |
| | – | 5 | 6 | | |
| | | 1 | 4 | 5 | |
STEP 9: DIVIDE 145 : 28 = 5 with a remainder of 5
|
| | | 0 | 2 | 5 | |
| 2 | 8 | 7 | 0 | 5 | 6 |
| | – | 0 | | | |
| | | 7 | 0 | | |
| | – | 5 | 6 | | |
| | | 1 | 4 | 5 | |
STEP 10: MULTIPLY 5 · 28 = 140
|
| | | 0 | 2 | 5 | |
| 2 | 8 | 7 | 0 | 5 | 6 |
| | – | 0 | | | |
| | | 7 | 0 | | |
| | – | 5 | 6 | | |
| | | 1 | 4 | 5 | |
| | | 1 | 4 | 0 | |
STEP 11: SUBTRACT 145 - 140 = 5
|
| | | 0 | 2 | 5 | |
| 2 | 8 | 7 | 0 | 5 | 6 |
| | – | 0 | | | |
| | | 7 | 0 | | |
| | – | 5 | 6 | | |
| | | 1 | 4 | 5 | |
| | – | 1 | 4 | 0 | |
| | | | | 5 | |
|
STEP 12: BRING DOWN
|
| | | 0 | 2 | 5 | |
| 2 | 8 | 7 | 0 | 5 | 6 |
| | – | 0 | | | |
| | | 7 | 0 | | |
| | – | 5 | 6 | | |
| | | 1 | 4 | 5 | |
| | – | 1 | 4 | 0 | |
| | | | | 5 | 6 |
STEP 13: DIVIDE 56 : 28 = 2 with a remainder of 0
|
| | | 0 | 2 | 5 | 2 |
| 2 | 8 | 7 | 0 | 5 | 6 |
| | – | 0 | | | |
| | | 7 | 0 | | |
| | – | 5 | 6 | | |
| | | 1 | 4 | 5 | |
| | – | 1 | 4 | 0 | |
| | | | | 5 | 6 |
STEP 14: MULTIPLY 2 · 28 = 56
|
| | | 0 | 2 | 5 | 2 |
| 2 | 8 | 7 | 0 | 5 | 6 |
| | – | 0 | | | |
| | | 7 | 0 | | |
| | – | 5 | 6 | | |
| | | 1 | 4 | 5 | |
| | – | 1 | 4 | 0 | |
| | | | | 5 | 6 |
| | | | | 5 | 6 |
STEP 15: SUBTRACT 56 - 56 = 0
|
| | | 0 | 2 | 5 | 2 |
| 2 | 8 | 7 | 0 | 5 | 6 |
| | – | 0 | | | |
| | | 7 | 0 | | |
| | – | 5 | 6 | | |
| | | 1 | 4 | 5 | |
| | – | 1 | 4 | 0 | |
| | | | | 5 | 6 |
| | | | – | 5 | 6 |
| | | | | | 0 |
STEP 15: SUBTRACT 56 - 56 = 0
|
| | | 0 | 2 | 5 | 2 |
| 2 | 8 | 7 | 0 | 5 | 6 |
| | – | 0 | | | |
| | | 7 | 0 | | |
| | – | 5 | 6 | | |
| | | 1 | 4 | 5 | |
| | – | 1 | 4 | 0 | |
| | | | | 5 | 6 |
| | | | – | 5 | 6 |
| | | | | | 0 |
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