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Question
What is the quotient and remainder when $ 2891 $ is divided by $ 7 $ ?
Answer
The quotient is 413 and the remainder is 0.
Explanation
|
Division Table
|
| | 0 | 4 | 1 | 3 |
| 7 | 2 | 8 | 9 | 1 |
| – | 0 | | | |
| | 2 | 8 | | |
| – | 2 | 8 | | |
| | | 9 | | |
| | – | 7 | | |
| | | 2 | 1 | |
| | – | 2 | 1 | |
| | | | 0 | |
STEP 0: set up a division table
|
| | | | | |
| 7 | 2 | 8 | 9 | 1 |
STEP 1: DIVIDE 2 : 7 = 0 with a remainder of 2
|
| | 0 | | | |
| 7 | 2 | 8 | 9 | 1 |
STEP 2: MULTIPLY 0 · 7 = 0
|
| | 0 | | | |
| 7 | 2 | 8 | 9 | 1 |
| | 0 | | | |
STEP 3: SUBTRACT 2 - 0 = 2
|
| | 0 | | | |
| 7 | 2 | 8 | 9 | 1 |
| – | 0 | | | |
| | 2 | | | |
|
STEP 4: BRING DOWN
|
| | 0 | | | |
| 7 | 2 | 8 | 9 | 1 |
| – | 0 | | | |
| | 2 | 8 | | |
STEP 5: DIVIDE 28 : 7 = 4 with a remainder of 0
|
| | 0 | 4 | | |
| 7 | 2 | 8 | 9 | 1 |
| – | 0 | | | |
| | 2 | 8 | | |
STEP 6: MULTIPLY 4 · 7 = 28
|
| | 0 | 4 | | |
| 7 | 2 | 8 | 9 | 1 |
| – | 0 | | | |
| | 2 | 8 | | |
| | 2 | 8 | | |
STEP 7: SUBTRACT 28 - 28 = 0
|
| | 0 | 4 | | |
| 7 | 2 | 8 | 9 | 1 |
| – | 0 | | | |
| | 2 | 8 | | |
| – | 2 | 8 | | |
| | | 0 | | |
|
STEP 8: BRING DOWN
|
| | 0 | 4 | | |
| 7 | 2 | 8 | 9 | 1 |
| – | 0 | | | |
| | 2 | 8 | | |
| – | 2 | 8 | | |
| | | 9 | | |
STEP 9: DIVIDE 9 : 7 = 1 with a remainder of 2
|
| | 0 | 4 | 1 | |
| 7 | 2 | 8 | 9 | 1 |
| – | 0 | | | |
| | 2 | 8 | | |
| – | 2 | 8 | | |
| | | 9 | | |
STEP 10: MULTIPLY 1 · 7 = 7
|
| | 0 | 4 | 1 | |
| 7 | 2 | 8 | 9 | 1 |
| – | 0 | | | |
| | 2 | 8 | | |
| – | 2 | 8 | | |
| | | 9 | | |
| | | 7 | | |
STEP 11: SUBTRACT 9 - 7 = 2
|
| | 0 | 4 | 1 | |
| 7 | 2 | 8 | 9 | 1 |
| – | 0 | | | |
| | 2 | 8 | | |
| – | 2 | 8 | | |
| | | 9 | | |
| | – | 7 | | |
| | | 2 | | |
|
STEP 12: BRING DOWN
|
| | 0 | 4 | 1 | |
| 7 | 2 | 8 | 9 | 1 |
| – | 0 | | | |
| | 2 | 8 | | |
| – | 2 | 8 | | |
| | | 9 | | |
| | – | 7 | | |
| | | 2 | 1 | |
STEP 13: DIVIDE 21 : 7 = 3 with a remainder of 0
|
| | 0 | 4 | 1 | 3 |
| 7 | 2 | 8 | 9 | 1 |
| – | 0 | | | |
| | 2 | 8 | | |
| – | 2 | 8 | | |
| | | 9 | | |
| | – | 7 | | |
| | | 2 | 1 | |
STEP 14: MULTIPLY 3 · 7 = 21
|
| | 0 | 4 | 1 | 3 |
| 7 | 2 | 8 | 9 | 1 |
| – | 0 | | | |
| | 2 | 8 | | |
| – | 2 | 8 | | |
| | | 9 | | |
| | – | 7 | | |
| | | 2 | 1 | |
| | | 2 | 1 | |
STEP 15: SUBTRACT 21 - 21 = 0
|
| | 0 | 4 | 1 | 3 |
| 7 | 2 | 8 | 9 | 1 |
| – | 0 | | | |
| | 2 | 8 | | |
| – | 2 | 8 | | |
| | | 9 | | |
| | – | 7 | | |
| | | 2 | 1 | |
| | – | 2 | 1 | |
| | | | 0 | |
STEP 15: SUBTRACT 21 - 21 = 0
|
| | 0 | 4 | 1 | 3 |
| 7 | 2 | 8 | 9 | 1 |
| – | 0 | | | |
| | 2 | 8 | | |
| – | 2 | 8 | | |
| | | 9 | | |
| | – | 7 | | |
| | | 2 | 1 | |
| | – | 2 | 1 | |
| | | | 0 | |
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