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Question
What is the quotient and remainder when $ 1480 $ is divided by $ 12 $ ?
Answer
The quotient is 123 and the remainder is 4.
Explanation
Division Table
|
| | 0 | 1 | 2 | 3 |
1 | 2 | 1 | 4 | 8 | 0 |
| – | 0 | | | |
| | 1 | 4 | | |
| – | 1 | 2 | | |
| | | 2 | 8 | |
| | – | 2 | 4 | |
| | | | 4 | 0 |
| | | – | 3 | 6 |
| | | | | 4 |
STEP 0: set up a division table
|
| | | | | |
1 | 2 | 1 | 4 | 8 | 0 |
STEP 1: DIVIDE 1 : 12 = 0 with a remainder of 1
|
| | 0 | | | |
1 | 2 | 1 | 4 | 8 | 0 |
STEP 2: MULTIPLY 0 · 12 = 0
|
| | 0 | | | |
1 | 2 | 1 | 4 | 8 | 0 |
| | 0 | | | |
STEP 3: SUBTRACT 1 - 0 = 1
|
| | 0 | | | |
1 | 2 | 1 | 4 | 8 | 0 |
| – | 0 | | | |
| | 1 | | | |
STEP 4: BRING DOWN
|
| | 0 | | | |
1 | 2 | 1 | 4 | 8 | 0 |
| – | 0 | | | |
| | 1 | 4 | | |
STEP 5: DIVIDE 14 : 12 = 1 with a remainder of 2
|
| | 0 | 1 | | |
1 | 2 | 1 | 4 | 8 | 0 |
| – | 0 | | | |
| | 1 | 4 | | |
STEP 6: MULTIPLY 1 · 12 = 12
|
| | 0 | 1 | | |
1 | 2 | 1 | 4 | 8 | 0 |
| – | 0 | | | |
| | 1 | 4 | | |
| | 1 | 2 | | |
STEP 7: SUBTRACT 14 - 12 = 2
|
| | 0 | 1 | | |
1 | 2 | 1 | 4 | 8 | 0 |
| – | 0 | | | |
| | 1 | 4 | | |
| – | 1 | 2 | | |
| | | 2 | | |
STEP 8: BRING DOWN
|
| | 0 | 1 | | |
1 | 2 | 1 | 4 | 8 | 0 |
| – | 0 | | | |
| | 1 | 4 | | |
| – | 1 | 2 | | |
| | | 2 | 8 | |
STEP 9: DIVIDE 28 : 12 = 2 with a remainder of 4
|
| | 0 | 1 | 2 | |
1 | 2 | 1 | 4 | 8 | 0 |
| – | 0 | | | |
| | 1 | 4 | | |
| – | 1 | 2 | | |
| | | 2 | 8 | |
STEP 10: MULTIPLY 2 · 12 = 24
|
| | 0 | 1 | 2 | |
1 | 2 | 1 | 4 | 8 | 0 |
| – | 0 | | | |
| | 1 | 4 | | |
| – | 1 | 2 | | |
| | | 2 | 8 | |
| | | 2 | 4 | |
STEP 11: SUBTRACT 28 - 24 = 4
|
| | 0 | 1 | 2 | |
1 | 2 | 1 | 4 | 8 | 0 |
| – | 0 | | | |
| | 1 | 4 | | |
| – | 1 | 2 | | |
| | | 2 | 8 | |
| | – | 2 | 4 | |
| | | | 4 | |
STEP 12: BRING DOWN
|
| | 0 | 1 | 2 | |
1 | 2 | 1 | 4 | 8 | 0 |
| – | 0 | | | |
| | 1 | 4 | | |
| – | 1 | 2 | | |
| | | 2 | 8 | |
| | – | 2 | 4 | |
| | | | 4 | 0 |
STEP 13: DIVIDE 40 : 12 = 3 with a remainder of 4
|
| | 0 | 1 | 2 | 3 |
1 | 2 | 1 | 4 | 8 | 0 |
| – | 0 | | | |
| | 1 | 4 | | |
| – | 1 | 2 | | |
| | | 2 | 8 | |
| | – | 2 | 4 | |
| | | | 4 | 0 |
STEP 14: MULTIPLY 3 · 12 = 36
|
| | 0 | 1 | 2 | 3 |
1 | 2 | 1 | 4 | 8 | 0 |
| – | 0 | | | |
| | 1 | 4 | | |
| – | 1 | 2 | | |
| | | 2 | 8 | |
| | – | 2 | 4 | |
| | | | 4 | 0 |
| | | | 3 | 6 |
STEP 15: SUBTRACT 40 - 36 = 4
|
| | 0 | 1 | 2 | 3 |
1 | 2 | 1 | 4 | 8 | 0 |
| – | 0 | | | |
| | 1 | 4 | | |
| – | 1 | 2 | | |
| | | 2 | 8 | |
| | – | 2 | 4 | |
| | | | 4 | 0 |
| | | – | 3 | 6 |
| | | | | 4 |
STEP 15: SUBTRACT 40 - 36 = 4
|
| | 0 | 1 | 2 | 3 |
1 | 2 | 1 | 4 | 8 | 0 |
| – | 0 | | | |
| | 1 | 4 | | |
| – | 1 | 2 | | |
| | | 2 | 8 | |
| | – | 2 | 4 | |
| | | | 4 | 0 |
| | | – | 3 | 6 |
| | | | | 4 |
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