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Question
What is the quotient and remainder when $ 2112 $ is divided by $ 96 $ ?
Answer
The quotient is 22 and the remainder is 0.
Explanation
Division Table
|
| | 0 | 0 | 2 | 2 |
9 | 6 | 2 | 1 | 1 | 2 |
| – | 0 | | | |
| | 2 | 1 | | |
| | – | 0 | | |
| | 2 | 1 | 1 | |
| – | 1 | 9 | 2 | |
| | | 1 | 9 | 2 |
| | – | 1 | 9 | 2 |
| | | | | 0 |
STEP 0: set up a division table
|
| | | | | |
9 | 6 | 2 | 1 | 1 | 2 |
STEP 1: DIVIDE 2 : 96 = 0 with a remainder of 2
|
| | 0 | | | |
9 | 6 | 2 | 1 | 1 | 2 |
STEP 2: MULTIPLY 0 · 96 = 0
|
| | 0 | | | |
9 | 6 | 2 | 1 | 1 | 2 |
| | 0 | | | |
STEP 3: SUBTRACT 2 - 0 = 2
|
| | 0 | | | |
9 | 6 | 2 | 1 | 1 | 2 |
| – | 0 | | | |
| | 2 | | | |
STEP 4: BRING DOWN
|
| | 0 | | | |
9 | 6 | 2 | 1 | 1 | 2 |
| – | 0 | | | |
| | 2 | 1 | | |
STEP 5: DIVIDE 21 : 96 = 0 with a remainder of 21
|
| | 0 | 0 | | |
9 | 6 | 2 | 1 | 1 | 2 |
| – | 0 | | | |
| | 2 | 1 | | |
STEP 6: MULTIPLY 0 · 96 = 0
|
| | 0 | 0 | | |
9 | 6 | 2 | 1 | 1 | 2 |
| – | 0 | | | |
| | 2 | 1 | | |
| | | 0 | | |
STEP 7: SUBTRACT 21 - 0 = 21
|
| | 0 | 0 | | |
9 | 6 | 2 | 1 | 1 | 2 |
| – | 0 | | | |
| | 2 | 1 | | |
| | – | 0 | | |
| | 2 | 1 | | |
STEP 8: BRING DOWN
|
| | 0 | 0 | | |
9 | 6 | 2 | 1 | 1 | 2 |
| – | 0 | | | |
| | 2 | 1 | | |
| | – | 0 | | |
| | 2 | 1 | 1 | |
STEP 9: DIVIDE 211 : 96 = 2 with a remainder of 19
|
| | 0 | 0 | 2 | |
9 | 6 | 2 | 1 | 1 | 2 |
| – | 0 | | | |
| | 2 | 1 | | |
| | – | 0 | | |
| | 2 | 1 | 1 | |
STEP 10: MULTIPLY 2 · 96 = 192
|
| | 0 | 0 | 2 | |
9 | 6 | 2 | 1 | 1 | 2 |
| – | 0 | | | |
| | 2 | 1 | | |
| | – | 0 | | |
| | 2 | 1 | 1 | |
| | 1 | 9 | 2 | |
STEP 11: SUBTRACT 211 - 192 = 19
|
| | 0 | 0 | 2 | |
9 | 6 | 2 | 1 | 1 | 2 |
| – | 0 | | | |
| | 2 | 1 | | |
| | – | 0 | | |
| | 2 | 1 | 1 | |
| – | 1 | 9 | 2 | |
| | | 1 | 9 | |
STEP 12: BRING DOWN
|
| | 0 | 0 | 2 | |
9 | 6 | 2 | 1 | 1 | 2 |
| – | 0 | | | |
| | 2 | 1 | | |
| | – | 0 | | |
| | 2 | 1 | 1 | |
| – | 1 | 9 | 2 | |
| | | 1 | 9 | 2 |
STEP 13: DIVIDE 192 : 96 = 2 with a remainder of 0
|
| | 0 | 0 | 2 | 2 |
9 | 6 | 2 | 1 | 1 | 2 |
| – | 0 | | | |
| | 2 | 1 | | |
| | – | 0 | | |
| | 2 | 1 | 1 | |
| – | 1 | 9 | 2 | |
| | | 1 | 9 | 2 |
STEP 14: MULTIPLY 2 · 96 = 192
|
| | 0 | 0 | 2 | 2 |
9 | 6 | 2 | 1 | 1 | 2 |
| – | 0 | | | |
| | 2 | 1 | | |
| | – | 0 | | |
| | 2 | 1 | 1 | |
| – | 1 | 9 | 2 | |
| | | 1 | 9 | 2 |
| | | 1 | 9 | 2 |
STEP 15: SUBTRACT 192 - 192 = 0
|
| | 0 | 0 | 2 | 2 |
9 | 6 | 2 | 1 | 1 | 2 |
| – | 0 | | | |
| | 2 | 1 | | |
| | – | 0 | | |
| | 2 | 1 | 1 | |
| – | 1 | 9 | 2 | |
| | | 1 | 9 | 2 |
| | – | 1 | 9 | 2 |
| | | | | 0 |
STEP 15: SUBTRACT 192 - 192 = 0
|
| | 0 | 0 | 2 | 2 |
9 | 6 | 2 | 1 | 1 | 2 |
| – | 0 | | | |
| | 2 | 1 | | |
| | – | 0 | | |
| | 2 | 1 | 1 | |
| – | 1 | 9 | 2 | |
| | | 1 | 9 | 2 |
| | – | 1 | 9 | 2 |
| | | | | 0 |
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