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What is the quotient and remainder when $ 3146 $ is divided by $ 143 $ ?
Answer
The quotient is 22 and the remainder is 0.
Explanation
Division Table
|
| | | 0 | 0 | 2 | 2 |
1 | 4 | 3 | 3 | 1 | 4 | 6 |
| | – | 0 | | | |
| | | 3 | 1 | | |
| | | – | 0 | | |
| | | 3 | 1 | 4 | |
| | – | 2 | 8 | 6 | |
| | | | 2 | 8 | 6 |
| | | – | 2 | 8 | 6 |
| | | | | | 0 |
STEP 0: set up a division table
|
| | | | | | |
1 | 4 | 3 | 3 | 1 | 4 | 6 |
STEP 1: DIVIDE 3 : 143 = 0 with a remainder of 3
|
| | | 0 | | | |
1 | 4 | 3 | 3 | 1 | 4 | 6 |
STEP 2: MULTIPLY 0 · 143 = 0
|
| | | 0 | | | |
1 | 4 | 3 | 3 | 1 | 4 | 6 |
| | | 0 | | | |
STEP 3: SUBTRACT 3 - 0 = 3
|
| | | 0 | | | |
1 | 4 | 3 | 3 | 1 | 4 | 6 |
| | – | 0 | | | |
| | | 3 | | | |
STEP 4: BRING DOWN
|
| | | 0 | | | |
1 | 4 | 3 | 3 | 1 | 4 | 6 |
| | – | 0 | | | |
| | | 3 | 1 | | |
STEP 5: DIVIDE 31 : 143 = 0 with a remainder of 31
|
| | | 0 | 0 | | |
1 | 4 | 3 | 3 | 1 | 4 | 6 |
| | – | 0 | | | |
| | | 3 | 1 | | |
STEP 6: MULTIPLY 0 · 143 = 0
|
| | | 0 | 0 | | |
1 | 4 | 3 | 3 | 1 | 4 | 6 |
| | – | 0 | | | |
| | | 3 | 1 | | |
| | | | 0 | | |
STEP 7: SUBTRACT 31 - 0 = 31
|
| | | 0 | 0 | | |
1 | 4 | 3 | 3 | 1 | 4 | 6 |
| | – | 0 | | | |
| | | 3 | 1 | | |
| | | – | 0 | | |
| | | 3 | 1 | | |
STEP 8: BRING DOWN
|
| | | 0 | 0 | | |
1 | 4 | 3 | 3 | 1 | 4 | 6 |
| | – | 0 | | | |
| | | 3 | 1 | | |
| | | – | 0 | | |
| | | 3 | 1 | 4 | |
STEP 9: DIVIDE 314 : 143 = 2 with a remainder of 28
|
| | | 0 | 0 | 2 | |
1 | 4 | 3 | 3 | 1 | 4 | 6 |
| | – | 0 | | | |
| | | 3 | 1 | | |
| | | – | 0 | | |
| | | 3 | 1 | 4 | |
STEP 10: MULTIPLY 2 · 143 = 286
|
| | | 0 | 0 | 2 | |
1 | 4 | 3 | 3 | 1 | 4 | 6 |
| | – | 0 | | | |
| | | 3 | 1 | | |
| | | – | 0 | | |
| | | 3 | 1 | 4 | |
| | | 2 | 8 | 6 | |
STEP 11: SUBTRACT 314 - 286 = 28
|
| | | 0 | 0 | 2 | |
1 | 4 | 3 | 3 | 1 | 4 | 6 |
| | – | 0 | | | |
| | | 3 | 1 | | |
| | | – | 0 | | |
| | | 3 | 1 | 4 | |
| | – | 2 | 8 | 6 | |
| | | | 2 | 8 | |
STEP 12: BRING DOWN
|
| | | 0 | 0 | 2 | |
1 | 4 | 3 | 3 | 1 | 4 | 6 |
| | – | 0 | | | |
| | | 3 | 1 | | |
| | | – | 0 | | |
| | | 3 | 1 | 4 | |
| | – | 2 | 8 | 6 | |
| | | | 2 | 8 | 6 |
STEP 13: DIVIDE 286 : 143 = 2 with a remainder of 0
|
| | | 0 | 0 | 2 | 2 |
1 | 4 | 3 | 3 | 1 | 4 | 6 |
| | – | 0 | | | |
| | | 3 | 1 | | |
| | | – | 0 | | |
| | | 3 | 1 | 4 | |
| | – | 2 | 8 | 6 | |
| | | | 2 | 8 | 6 |
STEP 14: MULTIPLY 2 · 143 = 286
|
| | | 0 | 0 | 2 | 2 |
1 | 4 | 3 | 3 | 1 | 4 | 6 |
| | – | 0 | | | |
| | | 3 | 1 | | |
| | | – | 0 | | |
| | | 3 | 1 | 4 | |
| | – | 2 | 8 | 6 | |
| | | | 2 | 8 | 6 |
| | | | 2 | 8 | 6 |
STEP 15: SUBTRACT 286 - 286 = 0
|
| | | 0 | 0 | 2 | 2 |
1 | 4 | 3 | 3 | 1 | 4 | 6 |
| | – | 0 | | | |
| | | 3 | 1 | | |
| | | – | 0 | | |
| | | 3 | 1 | 4 | |
| | – | 2 | 8 | 6 | |
| | | | 2 | 8 | 6 |
| | | – | 2 | 8 | 6 |
| | | | | | 0 |
STEP 15: SUBTRACT 286 - 286 = 0
|
| | | 0 | 0 | 2 | 2 |
1 | 4 | 3 | 3 | 1 | 4 | 6 |
| | – | 0 | | | |
| | | 3 | 1 | | |
| | | – | 0 | | |
| | | 3 | 1 | 4 | |
| | – | 2 | 8 | 6 | |
| | | | 2 | 8 | 6 |
| | | – | 2 | 8 | 6 |
| | | | | | 0 |
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