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What is the quotient and remainder when $ 1698 $ is divided by $ 7 $ ?
Answer
The quotient is 242 and the remainder is 4.
Explanation
Division Table
|
| 0 | 2 | 4 | 2 |
7 | 1 | 6 | 9 | 8 |
– | 0 | | | |
| 1 | 6 | | |
– | 1 | 4 | | |
| | 2 | 9 | |
| – | 2 | 8 | |
| | | 1 | 8 |
| | – | 1 | 4 |
| | | | 4 |
STEP 0: set up a division table
|
| | | | |
7 | 1 | 6 | 9 | 8 |
STEP 1: DIVIDE 1 : 7 = 0 with a remainder of 1
|
| 0 | | | |
7 | 1 | 6 | 9 | 8 |
STEP 2: MULTIPLY 0 · 7 = 0
|
| 0 | | | |
7 | 1 | 6 | 9 | 8 |
| 0 | | | |
STEP 3: SUBTRACT 1 - 0 = 1
|
| 0 | | | |
7 | 1 | 6 | 9 | 8 |
– | 0 | | | |
| 1 | | | |
STEP 4: BRING DOWN
|
| 0 | | | |
7 | 1 | 6 | 9 | 8 |
– | 0 | | | |
| 1 | 6 | | |
STEP 5: DIVIDE 16 : 7 = 2 with a remainder of 2
|
| 0 | 2 | | |
7 | 1 | 6 | 9 | 8 |
– | 0 | | | |
| 1 | 6 | | |
STEP 6: MULTIPLY 2 · 7 = 14
|
| 0 | 2 | | |
7 | 1 | 6 | 9 | 8 |
– | 0 | | | |
| 1 | 6 | | |
| 1 | 4 | | |
STEP 7: SUBTRACT 16 - 14 = 2
|
| 0 | 2 | | |
7 | 1 | 6 | 9 | 8 |
– | 0 | | | |
| 1 | 6 | | |
– | 1 | 4 | | |
| | 2 | | |
STEP 8: BRING DOWN
|
| 0 | 2 | | |
7 | 1 | 6 | 9 | 8 |
– | 0 | | | |
| 1 | 6 | | |
– | 1 | 4 | | |
| | 2 | 9 | |
STEP 9: DIVIDE 29 : 7 = 4 with a remainder of 1
|
| 0 | 2 | 4 | |
7 | 1 | 6 | 9 | 8 |
– | 0 | | | |
| 1 | 6 | | |
– | 1 | 4 | | |
| | 2 | 9 | |
STEP 10: MULTIPLY 4 · 7 = 28
|
| 0 | 2 | 4 | |
7 | 1 | 6 | 9 | 8 |
– | 0 | | | |
| 1 | 6 | | |
– | 1 | 4 | | |
| | 2 | 9 | |
| | 2 | 8 | |
STEP 11: SUBTRACT 29 - 28 = 1
|
| 0 | 2 | 4 | |
7 | 1 | 6 | 9 | 8 |
– | 0 | | | |
| 1 | 6 | | |
– | 1 | 4 | | |
| | 2 | 9 | |
| – | 2 | 8 | |
| | | 1 | |
STEP 12: BRING DOWN
|
| 0 | 2 | 4 | |
7 | 1 | 6 | 9 | 8 |
– | 0 | | | |
| 1 | 6 | | |
– | 1 | 4 | | |
| | 2 | 9 | |
| – | 2 | 8 | |
| | | 1 | 8 |
STEP 13: DIVIDE 18 : 7 = 2 with a remainder of 4
|
| 0 | 2 | 4 | 2 |
7 | 1 | 6 | 9 | 8 |
– | 0 | | | |
| 1 | 6 | | |
– | 1 | 4 | | |
| | 2 | 9 | |
| – | 2 | 8 | |
| | | 1 | 8 |
STEP 14: MULTIPLY 2 · 7 = 14
|
| 0 | 2 | 4 | 2 |
7 | 1 | 6 | 9 | 8 |
– | 0 | | | |
| 1 | 6 | | |
– | 1 | 4 | | |
| | 2 | 9 | |
| – | 2 | 8 | |
| | | 1 | 8 |
| | | 1 | 4 |
STEP 15: SUBTRACT 18 - 14 = 4
|
| 0 | 2 | 4 | 2 |
7 | 1 | 6 | 9 | 8 |
– | 0 | | | |
| 1 | 6 | | |
– | 1 | 4 | | |
| | 2 | 9 | |
| – | 2 | 8 | |
| | | 1 | 8 |
| | – | 1 | 4 |
| | | | 4 |
STEP 15: SUBTRACT 18 - 14 = 4
|
| 0 | 2 | 4 | 2 |
7 | 1 | 6 | 9 | 8 |
– | 0 | | | |
| 1 | 6 | | |
– | 1 | 4 | | |
| | 2 | 9 | |
| – | 2 | 8 | |
| | | 1 | 8 |
| | – | 1 | 4 |
| | | | 4 |
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