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What is the quotient and remainder when $ 2142 $ is divided by $ 7 $ ?
Answer
The quotient is 306 and the remainder is 0.
Explanation
Division Table
|
| 0 | 3 | 0 | 6 |
7 | 2 | 1 | 4 | 2 |
– | 0 | | | |
| 2 | 1 | | |
– | 2 | 1 | | |
| | 4 | | |
| – | 0 | | |
| | 4 | 2 | |
| – | 4 | 2 | |
| | | 0 | |
STEP 0: set up a division table
|
| | | | |
7 | 2 | 1 | 4 | 2 |
STEP 1: DIVIDE 2 : 7 = 0 with a remainder of 2
|
| 0 | | | |
7 | 2 | 1 | 4 | 2 |
STEP 2: MULTIPLY 0 · 7 = 0
|
| 0 | | | |
7 | 2 | 1 | 4 | 2 |
| 0 | | | |
STEP 3: SUBTRACT 2 - 0 = 2
|
| 0 | | | |
7 | 2 | 1 | 4 | 2 |
– | 0 | | | |
| 2 | | | |
STEP 4: BRING DOWN
|
| 0 | | | |
7 | 2 | 1 | 4 | 2 |
– | 0 | | | |
| 2 | 1 | | |
STEP 5: DIVIDE 21 : 7 = 3 with a remainder of 0
|
| 0 | 3 | | |
7 | 2 | 1 | 4 | 2 |
– | 0 | | | |
| 2 | 1 | | |
STEP 6: MULTIPLY 3 · 7 = 21
|
| 0 | 3 | | |
7 | 2 | 1 | 4 | 2 |
– | 0 | | | |
| 2 | 1 | | |
| 2 | 1 | | |
STEP 7: SUBTRACT 21 - 21 = 0
|
| 0 | 3 | | |
7 | 2 | 1 | 4 | 2 |
– | 0 | | | |
| 2 | 1 | | |
– | 2 | 1 | | |
| | 0 | | |
STEP 8: BRING DOWN
|
| 0 | 3 | | |
7 | 2 | 1 | 4 | 2 |
– | 0 | | | |
| 2 | 1 | | |
– | 2 | 1 | | |
| | 4 | | |
STEP 9: DIVIDE 4 : 7 = 0 with a remainder of 4
|
| 0 | 3 | 0 | |
7 | 2 | 1 | 4 | 2 |
– | 0 | | | |
| 2 | 1 | | |
– | 2 | 1 | | |
| | 4 | | |
STEP 10: MULTIPLY 0 · 7 = 0
|
| 0 | 3 | 0 | |
7 | 2 | 1 | 4 | 2 |
– | 0 | | | |
| 2 | 1 | | |
– | 2 | 1 | | |
| | 4 | | |
| | 0 | | |
STEP 11: SUBTRACT 4 - 0 = 4
|
| 0 | 3 | 0 | |
7 | 2 | 1 | 4 | 2 |
– | 0 | | | |
| 2 | 1 | | |
– | 2 | 1 | | |
| | 4 | | |
| – | 0 | | |
| | 4 | | |
STEP 12: BRING DOWN
|
| 0 | 3 | 0 | |
7 | 2 | 1 | 4 | 2 |
– | 0 | | | |
| 2 | 1 | | |
– | 2 | 1 | | |
| | 4 | | |
| – | 0 | | |
| | 4 | 2 | |
STEP 13: DIVIDE 42 : 7 = 6 with a remainder of 0
|
| 0 | 3 | 0 | 6 |
7 | 2 | 1 | 4 | 2 |
– | 0 | | | |
| 2 | 1 | | |
– | 2 | 1 | | |
| | 4 | | |
| – | 0 | | |
| | 4 | 2 | |
STEP 14: MULTIPLY 6 · 7 = 42
|
| 0 | 3 | 0 | 6 |
7 | 2 | 1 | 4 | 2 |
– | 0 | | | |
| 2 | 1 | | |
– | 2 | 1 | | |
| | 4 | | |
| – | 0 | | |
| | 4 | 2 | |
| | 4 | 2 | |
STEP 15: SUBTRACT 42 - 42 = 0
|
| 0 | 3 | 0 | 6 |
7 | 2 | 1 | 4 | 2 |
– | 0 | | | |
| 2 | 1 | | |
– | 2 | 1 | | |
| | 4 | | |
| – | 0 | | |
| | 4 | 2 | |
| – | 4 | 2 | |
| | | 0 | |
STEP 15: SUBTRACT 42 - 42 = 0
|
| 0 | 3 | 0 | 6 |
7 | 2 | 1 | 4 | 2 |
– | 0 | | | |
| 2 | 1 | | |
– | 2 | 1 | | |
| | 4 | | |
| – | 0 | | |
| | 4 | 2 | |
| – | 4 | 2 | |
| | | 0 | |
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