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What is the quotient and remainder when $ 432 $ is divided by $ 2 $ ?
Answer
The quotient is 216 and the remainder is 0.
Explanation
Division Table
|
| 2 | 1 | 6 |
2 | 4 | 3 | 2 |
– | 4 | | |
| 3 | | |
– | 2 | | |
| 1 | 2 | |
– | 1 | 2 | |
| | 0 | |
STEP 0: set up a division table
|
| | | |
2 | 4 | 3 | 2 |
STEP 1: DIVIDE 4 : 2 = 2 with a remainder of 0
|
| 2 | | |
2 | 4 | 3 | 2 |
STEP 2: MULTIPLY 2 · 2 = 4
|
| 2 | | |
2 | 4 | 3 | 2 |
| 4 | | |
STEP 3: SUBTRACT 4 - 4 = 0
|
| 2 | | |
2 | 4 | 3 | 2 |
– | 4 | | |
| 0 | | |
STEP 4: BRING DOWN
|
| 2 | | |
2 | 4 | 3 | 2 |
– | 4 | | |
| 3 | | |
STEP 5: DIVIDE 3 : 2 = 1 with a remainder of 1
|
| 2 | 1 | |
2 | 4 | 3 | 2 |
– | 4 | | |
| 3 | | |
STEP 6: MULTIPLY 1 · 2 = 2
|
| 2 | 1 | |
2 | 4 | 3 | 2 |
– | 4 | | |
| 3 | | |
| 2 | | |
STEP 7: SUBTRACT 3 - 2 = 1
|
| 2 | 1 | |
2 | 4 | 3 | 2 |
– | 4 | | |
| 3 | | |
– | 2 | | |
| 1 | | |
STEP 8: BRING DOWN
|
| 2 | 1 | |
2 | 4 | 3 | 2 |
– | 4 | | |
| 3 | | |
– | 2 | | |
| 1 | 2 | |
STEP 9: DIVIDE 12 : 2 = 6 with a remainder of 0
|
| 2 | 1 | 6 |
2 | 4 | 3 | 2 |
– | 4 | | |
| 3 | | |
– | 2 | | |
| 1 | 2 | |
STEP 10: MULTIPLY 6 · 2 = 12
|
| 2 | 1 | 6 |
2 | 4 | 3 | 2 |
– | 4 | | |
| 3 | | |
– | 2 | | |
| 1 | 2 | |
| 1 | 2 | |
STEP 11: SUBTRACT 12 - 12 = 0
|
| 2 | 1 | 6 |
2 | 4 | 3 | 2 |
– | 4 | | |
| 3 | | |
– | 2 | | |
| 1 | 2 | |
– | 1 | 2 | |
| | 0 | |
STEP 11: SUBTRACT 12 - 12 = 0
|
| 2 | 1 | 6 |
2 | 4 | 3 | 2 |
– | 4 | | |
| 3 | | |
– | 2 | | |
| 1 | 2 | |
– | 1 | 2 | |
| | 0 | |
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