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Question
What is the quotient and remainder when $ 1176 $ is divided by $ 7 $ ?
Answer
The quotient is 168 and the remainder is 0.
Explanation
Division Table
|
| 0 | 1 | 6 | 8 |
7 | 1 | 1 | 7 | 6 |
– | 0 | | | |
| 1 | 1 | | |
| – | 7 | | |
| | 4 | 7 | |
| – | 4 | 2 | |
| | | 5 | 6 |
| | – | 5 | 6 |
| | | | 0 |
STEP 0: set up a division table
|
| | | | |
7 | 1 | 1 | 7 | 6 |
STEP 1: DIVIDE 1 : 7 = 0 with a remainder of 1
|
| 0 | | | |
7 | 1 | 1 | 7 | 6 |
STEP 2: MULTIPLY 0 · 7 = 0
|
| 0 | | | |
7 | 1 | 1 | 7 | 6 |
| 0 | | | |
STEP 3: SUBTRACT 1 - 0 = 1
|
| 0 | | | |
7 | 1 | 1 | 7 | 6 |
– | 0 | | | |
| 1 | | | |
STEP 4: BRING DOWN
|
| 0 | | | |
7 | 1 | 1 | 7 | 6 |
– | 0 | | | |
| 1 | 1 | | |
STEP 5: DIVIDE 11 : 7 = 1 with a remainder of 4
|
| 0 | 1 | | |
7 | 1 | 1 | 7 | 6 |
– | 0 | | | |
| 1 | 1 | | |
STEP 6: MULTIPLY 1 · 7 = 7
|
| 0 | 1 | | |
7 | 1 | 1 | 7 | 6 |
– | 0 | | | |
| 1 | 1 | | |
| | 7 | | |
STEP 7: SUBTRACT 11 - 7 = 4
|
| 0 | 1 | | |
7 | 1 | 1 | 7 | 6 |
– | 0 | | | |
| 1 | 1 | | |
| – | 7 | | |
| | 4 | | |
STEP 8: BRING DOWN
|
| 0 | 1 | | |
7 | 1 | 1 | 7 | 6 |
– | 0 | | | |
| 1 | 1 | | |
| – | 7 | | |
| | 4 | 7 | |
STEP 9: DIVIDE 47 : 7 = 6 with a remainder of 5
|
| 0 | 1 | 6 | |
7 | 1 | 1 | 7 | 6 |
– | 0 | | | |
| 1 | 1 | | |
| – | 7 | | |
| | 4 | 7 | |
STEP 10: MULTIPLY 6 · 7 = 42
|
| 0 | 1 | 6 | |
7 | 1 | 1 | 7 | 6 |
– | 0 | | | |
| 1 | 1 | | |
| – | 7 | | |
| | 4 | 7 | |
| | 4 | 2 | |
STEP 11: SUBTRACT 47 - 42 = 5
|
| 0 | 1 | 6 | |
7 | 1 | 1 | 7 | 6 |
– | 0 | | | |
| 1 | 1 | | |
| – | 7 | | |
| | 4 | 7 | |
| – | 4 | 2 | |
| | | 5 | |
STEP 12: BRING DOWN
|
| 0 | 1 | 6 | |
7 | 1 | 1 | 7 | 6 |
– | 0 | | | |
| 1 | 1 | | |
| – | 7 | | |
| | 4 | 7 | |
| – | 4 | 2 | |
| | | 5 | 6 |
STEP 13: DIVIDE 56 : 7 = 8 with a remainder of 0
|
| 0 | 1 | 6 | 8 |
7 | 1 | 1 | 7 | 6 |
– | 0 | | | |
| 1 | 1 | | |
| – | 7 | | |
| | 4 | 7 | |
| – | 4 | 2 | |
| | | 5 | 6 |
STEP 14: MULTIPLY 8 · 7 = 56
|
| 0 | 1 | 6 | 8 |
7 | 1 | 1 | 7 | 6 |
– | 0 | | | |
| 1 | 1 | | |
| – | 7 | | |
| | 4 | 7 | |
| – | 4 | 2 | |
| | | 5 | 6 |
| | | 5 | 6 |
STEP 15: SUBTRACT 56 - 56 = 0
|
| 0 | 1 | 6 | 8 |
7 | 1 | 1 | 7 | 6 |
– | 0 | | | |
| 1 | 1 | | |
| – | 7 | | |
| | 4 | 7 | |
| – | 4 | 2 | |
| | | 5 | 6 |
| | – | 5 | 6 |
| | | | 0 |
STEP 15: SUBTRACT 56 - 56 = 0
|
| 0 | 1 | 6 | 8 |
7 | 1 | 1 | 7 | 6 |
– | 0 | | | |
| 1 | 1 | | |
| – | 7 | | |
| | 4 | 7 | |
| – | 4 | 2 | |
| | | 5 | 6 |
| | – | 5 | 6 |
| | | | 0 |
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