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What is the quotient and remainder when $ 112 $ is divided by $ 40 $ ?
Answer
The quotient is 2 and the remainder is 32.
Explanation
Division Table
|
| | 0 | 0 | 2 |
4 | 0 | 1 | 1 | 2 |
| – | 0 | | |
| | 1 | 1 | |
| | – | 0 | |
| | 1 | 1 | 2 |
| | – | 8 | 0 |
| | | 3 | 2 |
STEP 0: set up a division table
|
| | | | |
4 | 0 | 1 | 1 | 2 |
STEP 1: DIVIDE 1 : 40 = 0 with a remainder of 1
|
| | 0 | | |
4 | 0 | 1 | 1 | 2 |
STEP 2: MULTIPLY 0 · 40 = 0
|
| | 0 | | |
4 | 0 | 1 | 1 | 2 |
| | 0 | | |
STEP 3: SUBTRACT 1 - 0 = 1
|
| | 0 | | |
4 | 0 | 1 | 1 | 2 |
| – | 0 | | |
| | 1 | | |
STEP 4: BRING DOWN
|
| | 0 | | |
4 | 0 | 1 | 1 | 2 |
| – | 0 | | |
| | 1 | 1 | |
STEP 5: DIVIDE 11 : 40 = 0 with a remainder of 11
|
| | 0 | 0 | |
4 | 0 | 1 | 1 | 2 |
| – | 0 | | |
| | 1 | 1 | |
STEP 6: MULTIPLY 0 · 40 = 0
|
| | 0 | 0 | |
4 | 0 | 1 | 1 | 2 |
| – | 0 | | |
| | 1 | 1 | |
| | | 0 | |
STEP 7: SUBTRACT 11 - 0 = 11
|
| | 0 | 0 | |
4 | 0 | 1 | 1 | 2 |
| – | 0 | | |
| | 1 | 1 | |
| | – | 0 | |
| | 1 | 1 | |
STEP 8: BRING DOWN
|
| | 0 | 0 | |
4 | 0 | 1 | 1 | 2 |
| – | 0 | | |
| | 1 | 1 | |
| | – | 0 | |
| | 1 | 1 | 2 |
STEP 9: DIVIDE 112 : 40 = 2 with a remainder of 32
|
| | 0 | 0 | 2 |
4 | 0 | 1 | 1 | 2 |
| – | 0 | | |
| | 1 | 1 | |
| | – | 0 | |
| | 1 | 1 | 2 |
STEP 10: MULTIPLY 2 · 40 = 80
|
| | 0 | 0 | 2 |
4 | 0 | 1 | 1 | 2 |
| – | 0 | | |
| | 1 | 1 | |
| | – | 0 | |
| | 1 | 1 | 2 |
| | | 8 | 0 |
STEP 11: SUBTRACT 112 - 80 = 32
|
| | 0 | 0 | 2 |
4 | 0 | 1 | 1 | 2 |
| – | 0 | | |
| | 1 | 1 | |
| | – | 0 | |
| | 1 | 1 | 2 |
| | – | 8 | 0 |
| | | 3 | 2 |
STEP 11: SUBTRACT 112 - 80 = 32
|
| | 0 | 0 | 2 |
4 | 0 | 1 | 1 | 2 |
| – | 0 | | |
| | 1 | 1 | |
| | – | 0 | |
| | 1 | 1 | 2 |
| | – | 8 | 0 |
| | | 3 | 2 |
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