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Question
What is the quotient and remainder when $ 874 $ is divided by $ 7 $ ?
Answer
The quotient is 124 and the remainder is 6.
Explanation
|
Division Table
|
| | 1 | 2 | 4 |
| 7 | 8 | 7 | 4 |
| – | 7 | | |
| | 1 | 7 | |
| – | 1 | 4 | |
| | | 3 | 4 |
| | – | 2 | 8 |
| | | | 6 |
STEP 0: set up a division table
|
| | | | |
| 7 | 8 | 7 | 4 |
STEP 1: DIVIDE 8 : 7 = 1 with a remainder of 1
|
| | 1 | | |
| 7 | 8 | 7 | 4 |
STEP 2: MULTIPLY 1 · 7 = 7
|
| | 1 | | |
| 7 | 8 | 7 | 4 |
| | 7 | | |
STEP 3: SUBTRACT 8 - 7 = 1
|
| | 1 | | |
| 7 | 8 | 7 | 4 |
| – | 7 | | |
| | 1 | | |
|
STEP 4: BRING DOWN
|
| | 1 | | |
| 7 | 8 | 7 | 4 |
| – | 7 | | |
| | 1 | 7 | |
STEP 5: DIVIDE 17 : 7 = 2 with a remainder of 3
|
| | 1 | 2 | |
| 7 | 8 | 7 | 4 |
| – | 7 | | |
| | 1 | 7 | |
STEP 6: MULTIPLY 2 · 7 = 14
|
| | 1 | 2 | |
| 7 | 8 | 7 | 4 |
| – | 7 | | |
| | 1 | 7 | |
| | 1 | 4 | |
STEP 7: SUBTRACT 17 - 14 = 3
|
| | 1 | 2 | |
| 7 | 8 | 7 | 4 |
| – | 7 | | |
| | 1 | 7 | |
| – | 1 | 4 | |
| | | 3 | |
|
STEP 8: BRING DOWN
|
| | 1 | 2 | |
| 7 | 8 | 7 | 4 |
| – | 7 | | |
| | 1 | 7 | |
| – | 1 | 4 | |
| | | 3 | 4 |
STEP 9: DIVIDE 34 : 7 = 4 with a remainder of 6
|
| | 1 | 2 | 4 |
| 7 | 8 | 7 | 4 |
| – | 7 | | |
| | 1 | 7 | |
| – | 1 | 4 | |
| | | 3 | 4 |
STEP 10: MULTIPLY 4 · 7 = 28
|
| | 1 | 2 | 4 |
| 7 | 8 | 7 | 4 |
| – | 7 | | |
| | 1 | 7 | |
| – | 1 | 4 | |
| | | 3 | 4 |
| | | 2 | 8 |
STEP 11: SUBTRACT 34 - 28 = 6
|
| | 1 | 2 | 4 |
| 7 | 8 | 7 | 4 |
| – | 7 | | |
| | 1 | 7 | |
| – | 1 | 4 | |
| | | 3 | 4 |
| | – | 2 | 8 |
| | | | 6 |
STEP 11: SUBTRACT 34 - 28 = 6
|
| | 1 | 2 | 4 |
| 7 | 8 | 7 | 4 |
| – | 7 | | |
| | 1 | 7 | |
| – | 1 | 4 | |
| | | 3 | 4 |
| | – | 2 | 8 |
| | | | 6 |
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