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What is the quotient and remainder when $ 2956 $ is divided by $ 94 $ ?
Answer
The quotient is 31 and the remainder is 42.
Explanation
Division Table
|
| | 0 | 0 | 3 | 1 |
9 | 4 | 2 | 9 | 5 | 6 |
| – | 0 | | | |
| | 2 | 9 | | |
| | – | 0 | | |
| | 2 | 9 | 5 | |
| – | 2 | 8 | 2 | |
| | | 1 | 3 | 6 |
| | | – | 9 | 4 |
| | | | 4 | 2 |
STEP 0: set up a division table
|
| | | | | |
9 | 4 | 2 | 9 | 5 | 6 |
STEP 1: DIVIDE 2 : 94 = 0 with a remainder of 2
|
| | 0 | | | |
9 | 4 | 2 | 9 | 5 | 6 |
STEP 2: MULTIPLY 0 · 94 = 0
|
| | 0 | | | |
9 | 4 | 2 | 9 | 5 | 6 |
| | 0 | | | |
STEP 3: SUBTRACT 2 - 0 = 2
|
| | 0 | | | |
9 | 4 | 2 | 9 | 5 | 6 |
| – | 0 | | | |
| | 2 | | | |
STEP 4: BRING DOWN
|
| | 0 | | | |
9 | 4 | 2 | 9 | 5 | 6 |
| – | 0 | | | |
| | 2 | 9 | | |
STEP 5: DIVIDE 29 : 94 = 0 with a remainder of 29
|
| | 0 | 0 | | |
9 | 4 | 2 | 9 | 5 | 6 |
| – | 0 | | | |
| | 2 | 9 | | |
STEP 6: MULTIPLY 0 · 94 = 0
|
| | 0 | 0 | | |
9 | 4 | 2 | 9 | 5 | 6 |
| – | 0 | | | |
| | 2 | 9 | | |
| | | 0 | | |
STEP 7: SUBTRACT 29 - 0 = 29
|
| | 0 | 0 | | |
9 | 4 | 2 | 9 | 5 | 6 |
| – | 0 | | | |
| | 2 | 9 | | |
| | – | 0 | | |
| | 2 | 9 | | |
STEP 8: BRING DOWN
|
| | 0 | 0 | | |
9 | 4 | 2 | 9 | 5 | 6 |
| – | 0 | | | |
| | 2 | 9 | | |
| | – | 0 | | |
| | 2 | 9 | 5 | |
STEP 9: DIVIDE 295 : 94 = 3 with a remainder of 13
|
| | 0 | 0 | 3 | |
9 | 4 | 2 | 9 | 5 | 6 |
| – | 0 | | | |
| | 2 | 9 | | |
| | – | 0 | | |
| | 2 | 9 | 5 | |
STEP 10: MULTIPLY 3 · 94 = 282
|
| | 0 | 0 | 3 | |
9 | 4 | 2 | 9 | 5 | 6 |
| – | 0 | | | |
| | 2 | 9 | | |
| | – | 0 | | |
| | 2 | 9 | 5 | |
| | 2 | 8 | 2 | |
STEP 11: SUBTRACT 295 - 282 = 13
|
| | 0 | 0 | 3 | |
9 | 4 | 2 | 9 | 5 | 6 |
| – | 0 | | | |
| | 2 | 9 | | |
| | – | 0 | | |
| | 2 | 9 | 5 | |
| – | 2 | 8 | 2 | |
| | | 1 | 3 | |
STEP 12: BRING DOWN
|
| | 0 | 0 | 3 | |
9 | 4 | 2 | 9 | 5 | 6 |
| – | 0 | | | |
| | 2 | 9 | | |
| | – | 0 | | |
| | 2 | 9 | 5 | |
| – | 2 | 8 | 2 | |
| | | 1 | 3 | 6 |
STEP 13: DIVIDE 136 : 94 = 1 with a remainder of 42
|
| | 0 | 0 | 3 | 1 |
9 | 4 | 2 | 9 | 5 | 6 |
| – | 0 | | | |
| | 2 | 9 | | |
| | – | 0 | | |
| | 2 | 9 | 5 | |
| – | 2 | 8 | 2 | |
| | | 1 | 3 | 6 |
STEP 14: MULTIPLY 1 · 94 = 94
|
| | 0 | 0 | 3 | 1 |
9 | 4 | 2 | 9 | 5 | 6 |
| – | 0 | | | |
| | 2 | 9 | | |
| | – | 0 | | |
| | 2 | 9 | 5 | |
| – | 2 | 8 | 2 | |
| | | 1 | 3 | 6 |
| | | | 9 | 4 |
STEP 15: SUBTRACT 136 - 94 = 42
|
| | 0 | 0 | 3 | 1 |
9 | 4 | 2 | 9 | 5 | 6 |
| – | 0 | | | |
| | 2 | 9 | | |
| | – | 0 | | |
| | 2 | 9 | 5 | |
| – | 2 | 8 | 2 | |
| | | 1 | 3 | 6 |
| | | – | 9 | 4 |
| | | | 4 | 2 |
STEP 15: SUBTRACT 136 - 94 = 42
|
| | 0 | 0 | 3 | 1 |
9 | 4 | 2 | 9 | 5 | 6 |
| – | 0 | | | |
| | 2 | 9 | | |
| | – | 0 | | |
| | 2 | 9 | 5 | |
| – | 2 | 8 | 2 | |
| | | 1 | 3 | 6 |
| | | – | 9 | 4 |
| | | | 4 | 2 |
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