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What is the quotient and remainder when $ 1400 $ is divided by $ 3 $ ?
Answer
The quotient is 466 and the remainder is 2.
Explanation
Division Table
|
| 0 | 4 | 6 | 6 |
3 | 1 | 4 | 0 | 0 |
– | 0 | | | |
| 1 | 4 | | |
– | 1 | 2 | | |
| | 2 | 0 | |
| – | 1 | 8 | |
| | | 2 | 0 |
| | – | 1 | 8 |
| | | | 2 |
STEP 0: set up a division table
|
| | | | |
3 | 1 | 4 | 0 | 0 |
STEP 1: DIVIDE 1 : 3 = 0 with a remainder of 1
|
| 0 | | | |
3 | 1 | 4 | 0 | 0 |
STEP 2: MULTIPLY 0 · 3 = 0
|
| 0 | | | |
3 | 1 | 4 | 0 | 0 |
| 0 | | | |
STEP 3: SUBTRACT 1 - 0 = 1
|
| 0 | | | |
3 | 1 | 4 | 0 | 0 |
– | 0 | | | |
| 1 | | | |
STEP 4: BRING DOWN
|
| 0 | | | |
3 | 1 | 4 | 0 | 0 |
– | 0 | | | |
| 1 | 4 | | |
STEP 5: DIVIDE 14 : 3 = 4 with a remainder of 2
|
| 0 | 4 | | |
3 | 1 | 4 | 0 | 0 |
– | 0 | | | |
| 1 | 4 | | |
STEP 6: MULTIPLY 4 · 3 = 12
|
| 0 | 4 | | |
3 | 1 | 4 | 0 | 0 |
– | 0 | | | |
| 1 | 4 | | |
| 1 | 2 | | |
STEP 7: SUBTRACT 14 - 12 = 2
|
| 0 | 4 | | |
3 | 1 | 4 | 0 | 0 |
– | 0 | | | |
| 1 | 4 | | |
– | 1 | 2 | | |
| | 2 | | |
STEP 8: BRING DOWN
|
| 0 | 4 | | |
3 | 1 | 4 | 0 | 0 |
– | 0 | | | |
| 1 | 4 | | |
– | 1 | 2 | | |
| | 2 | 0 | |
STEP 9: DIVIDE 20 : 3 = 6 with a remainder of 2
|
| 0 | 4 | 6 | |
3 | 1 | 4 | 0 | 0 |
– | 0 | | | |
| 1 | 4 | | |
– | 1 | 2 | | |
| | 2 | 0 | |
STEP 10: MULTIPLY 6 · 3 = 18
|
| 0 | 4 | 6 | |
3 | 1 | 4 | 0 | 0 |
– | 0 | | | |
| 1 | 4 | | |
– | 1 | 2 | | |
| | 2 | 0 | |
| | 1 | 8 | |
STEP 11: SUBTRACT 20 - 18 = 2
|
| 0 | 4 | 6 | |
3 | 1 | 4 | 0 | 0 |
– | 0 | | | |
| 1 | 4 | | |
– | 1 | 2 | | |
| | 2 | 0 | |
| – | 1 | 8 | |
| | | 2 | |
STEP 12: BRING DOWN
|
| 0 | 4 | 6 | |
3 | 1 | 4 | 0 | 0 |
– | 0 | | | |
| 1 | 4 | | |
– | 1 | 2 | | |
| | 2 | 0 | |
| – | 1 | 8 | |
| | | 2 | 0 |
STEP 13: DIVIDE 20 : 3 = 6 with a remainder of 2
|
| 0 | 4 | 6 | 6 |
3 | 1 | 4 | 0 | 0 |
– | 0 | | | |
| 1 | 4 | | |
– | 1 | 2 | | |
| | 2 | 0 | |
| – | 1 | 8 | |
| | | 2 | 0 |
STEP 14: MULTIPLY 6 · 3 = 18
|
| 0 | 4 | 6 | 6 |
3 | 1 | 4 | 0 | 0 |
– | 0 | | | |
| 1 | 4 | | |
– | 1 | 2 | | |
| | 2 | 0 | |
| – | 1 | 8 | |
| | | 2 | 0 |
| | | 1 | 8 |
STEP 15: SUBTRACT 20 - 18 = 2
|
| 0 | 4 | 6 | 6 |
3 | 1 | 4 | 0 | 0 |
– | 0 | | | |
| 1 | 4 | | |
– | 1 | 2 | | |
| | 2 | 0 | |
| – | 1 | 8 | |
| | | 2 | 0 |
| | – | 1 | 8 |
| | | | 2 |
STEP 15: SUBTRACT 20 - 18 = 2
|
| 0 | 4 | 6 | 6 |
3 | 1 | 4 | 0 | 0 |
– | 0 | | | |
| 1 | 4 | | |
– | 1 | 2 | | |
| | 2 | 0 | |
| – | 1 | 8 | |
| | | 2 | 0 |
| | – | 1 | 8 |
| | | | 2 |
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