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Question
What is the quotient and remainder when $ 385 $ is divided by $ 4 $ ?
Answer
The quotient is 96 and the remainder is 1.
Explanation
Division Table
|
| 0 | 9 | 6 |
4 | 3 | 8 | 5 |
– | 0 | | |
| 3 | 8 | |
– | 3 | 6 | |
| | 2 | 5 |
| – | 2 | 4 |
| | | 1 |
STEP 0: set up a division table
|
| | | |
4 | 3 | 8 | 5 |
STEP 1: DIVIDE 3 : 4 = 0 with a remainder of 3
|
| 0 | | |
4 | 3 | 8 | 5 |
STEP 2: MULTIPLY 0 · 4 = 0
|
| 0 | | |
4 | 3 | 8 | 5 |
| 0 | | |
STEP 3: SUBTRACT 3 - 0 = 3
|
| 0 | | |
4 | 3 | 8 | 5 |
– | 0 | | |
| 3 | | |
STEP 4: BRING DOWN
|
| 0 | | |
4 | 3 | 8 | 5 |
– | 0 | | |
| 3 | 8 | |
STEP 5: DIVIDE 38 : 4 = 9 with a remainder of 2
|
| 0 | 9 | |
4 | 3 | 8 | 5 |
– | 0 | | |
| 3 | 8 | |
STEP 6: MULTIPLY 9 · 4 = 36
|
| 0 | 9 | |
4 | 3 | 8 | 5 |
– | 0 | | |
| 3 | 8 | |
| 3 | 6 | |
STEP 7: SUBTRACT 38 - 36 = 2
|
| 0 | 9 | |
4 | 3 | 8 | 5 |
– | 0 | | |
| 3 | 8 | |
– | 3 | 6 | |
| | 2 | |
STEP 8: BRING DOWN
|
| 0 | 9 | |
4 | 3 | 8 | 5 |
– | 0 | | |
| 3 | 8 | |
– | 3 | 6 | |
| | 2 | 5 |
STEP 9: DIVIDE 25 : 4 = 6 with a remainder of 1
|
| 0 | 9 | 6 |
4 | 3 | 8 | 5 |
– | 0 | | |
| 3 | 8 | |
– | 3 | 6 | |
| | 2 | 5 |
STEP 10: MULTIPLY 6 · 4 = 24
|
| 0 | 9 | 6 |
4 | 3 | 8 | 5 |
– | 0 | | |
| 3 | 8 | |
– | 3 | 6 | |
| | 2 | 5 |
| | 2 | 4 |
STEP 11: SUBTRACT 25 - 24 = 1
|
| 0 | 9 | 6 |
4 | 3 | 8 | 5 |
– | 0 | | |
| 3 | 8 | |
– | 3 | 6 | |
| | 2 | 5 |
| – | 2 | 4 |
| | | 1 |
STEP 11: SUBTRACT 25 - 24 = 1
|
| 0 | 9 | 6 |
4 | 3 | 8 | 5 |
– | 0 | | |
| 3 | 8 | |
– | 3 | 6 | |
| | 2 | 5 |
| – | 2 | 4 |
| | | 1 |
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