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What is the quotient and remainder when $ 178 $ is divided by $ 4 $ ?
Answer
The quotient is 44 and the remainder is 2.
Explanation
Division Table
|
| 0 | 4 | 4 |
4 | 1 | 7 | 8 |
– | 0 | | |
| 1 | 7 | |
– | 1 | 6 | |
| | 1 | 8 |
| – | 1 | 6 |
| | | 2 |
STEP 0: set up a division table
|
| | | |
4 | 1 | 7 | 8 |
STEP 1: DIVIDE 1 : 4 = 0 with a remainder of 1
|
| 0 | | |
4 | 1 | 7 | 8 |
STEP 2: MULTIPLY 0 · 4 = 0
|
| 0 | | |
4 | 1 | 7 | 8 |
| 0 | | |
STEP 3: SUBTRACT 1 - 0 = 1
|
| 0 | | |
4 | 1 | 7 | 8 |
– | 0 | | |
| 1 | | |
STEP 4: BRING DOWN
|
| 0 | | |
4 | 1 | 7 | 8 |
– | 0 | | |
| 1 | 7 | |
STEP 5: DIVIDE 17 : 4 = 4 with a remainder of 1
|
| 0 | 4 | |
4 | 1 | 7 | 8 |
– | 0 | | |
| 1 | 7 | |
STEP 6: MULTIPLY 4 · 4 = 16
|
| 0 | 4 | |
4 | 1 | 7 | 8 |
– | 0 | | |
| 1 | 7 | |
| 1 | 6 | |
STEP 7: SUBTRACT 17 - 16 = 1
|
| 0 | 4 | |
4 | 1 | 7 | 8 |
– | 0 | | |
| 1 | 7 | |
– | 1 | 6 | |
| | 1 | |
STEP 8: BRING DOWN
|
| 0 | 4 | |
4 | 1 | 7 | 8 |
– | 0 | | |
| 1 | 7 | |
– | 1 | 6 | |
| | 1 | 8 |
STEP 9: DIVIDE 18 : 4 = 4 with a remainder of 2
|
| 0 | 4 | 4 |
4 | 1 | 7 | 8 |
– | 0 | | |
| 1 | 7 | |
– | 1 | 6 | |
| | 1 | 8 |
STEP 10: MULTIPLY 4 · 4 = 16
|
| 0 | 4 | 4 |
4 | 1 | 7 | 8 |
– | 0 | | |
| 1 | 7 | |
– | 1 | 6 | |
| | 1 | 8 |
| | 1 | 6 |
STEP 11: SUBTRACT 18 - 16 = 2
|
| 0 | 4 | 4 |
4 | 1 | 7 | 8 |
– | 0 | | |
| 1 | 7 | |
– | 1 | 6 | |
| | 1 | 8 |
| – | 1 | 6 |
| | | 2 |
STEP 11: SUBTRACT 18 - 16 = 2
|
| 0 | 4 | 4 |
4 | 1 | 7 | 8 |
– | 0 | | |
| 1 | 7 | |
– | 1 | 6 | |
| | 1 | 8 |
| – | 1 | 6 |
| | | 2 |
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