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What is the quotient and remainder when $ 960 $ is divided by $ 30 $ ?
Answer
The quotient is 32 and the remainder is 0.
Explanation
Division Table
|
| | 0 | 3 | 2 |
3 | 0 | 9 | 6 | 0 |
| – | 0 | | |
| | 9 | 6 | |
| – | 9 | 0 | |
| | | 6 | 0 |
| | – | 6 | 0 |
| | | | 0 |
STEP 0: set up a division table
|
| | | | |
3 | 0 | 9 | 6 | 0 |
STEP 1: DIVIDE 9 : 30 = 0 with a remainder of 9
|
| | 0 | | |
3 | 0 | 9 | 6 | 0 |
STEP 2: MULTIPLY 0 · 30 = 0
|
| | 0 | | |
3 | 0 | 9 | 6 | 0 |
| | 0 | | |
STEP 3: SUBTRACT 9 - 0 = 9
|
| | 0 | | |
3 | 0 | 9 | 6 | 0 |
| – | 0 | | |
| | 9 | | |
STEP 4: BRING DOWN
|
| | 0 | | |
3 | 0 | 9 | 6 | 0 |
| – | 0 | | |
| | 9 | 6 | |
STEP 5: DIVIDE 96 : 30 = 3 with a remainder of 6
|
| | 0 | 3 | |
3 | 0 | 9 | 6 | 0 |
| – | 0 | | |
| | 9 | 6 | |
STEP 6: MULTIPLY 3 · 30 = 90
|
| | 0 | 3 | |
3 | 0 | 9 | 6 | 0 |
| – | 0 | | |
| | 9 | 6 | |
| | 9 | 0 | |
STEP 7: SUBTRACT 96 - 90 = 6
|
| | 0 | 3 | |
3 | 0 | 9 | 6 | 0 |
| – | 0 | | |
| | 9 | 6 | |
| – | 9 | 0 | |
| | | 6 | |
STEP 8: BRING DOWN
|
| | 0 | 3 | |
3 | 0 | 9 | 6 | 0 |
| – | 0 | | |
| | 9 | 6 | |
| – | 9 | 0 | |
| | | 6 | 0 |
STEP 9: DIVIDE 60 : 30 = 2 with a remainder of 0
|
| | 0 | 3 | 2 |
3 | 0 | 9 | 6 | 0 |
| – | 0 | | |
| | 9 | 6 | |
| – | 9 | 0 | |
| | | 6 | 0 |
STEP 10: MULTIPLY 2 · 30 = 60
|
| | 0 | 3 | 2 |
3 | 0 | 9 | 6 | 0 |
| – | 0 | | |
| | 9 | 6 | |
| – | 9 | 0 | |
| | | 6 | 0 |
| | | 6 | 0 |
STEP 11: SUBTRACT 60 - 60 = 0
|
| | 0 | 3 | 2 |
3 | 0 | 9 | 6 | 0 |
| – | 0 | | |
| | 9 | 6 | |
| – | 9 | 0 | |
| | | 6 | 0 |
| | – | 6 | 0 |
| | | | 0 |
STEP 11: SUBTRACT 60 - 60 = 0
|
| | 0 | 3 | 2 |
3 | 0 | 9 | 6 | 0 |
| – | 0 | | |
| | 9 | 6 | |
| – | 9 | 0 | |
| | | 6 | 0 |
| | – | 6 | 0 |
| | | | 0 |
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