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What is the quotient and remainder when $ 594 $ is divided by $ 5 $ ?
Answer
The quotient is 118 and the remainder is 4.
Explanation
Division Table
|
| 1 | 1 | 8 |
5 | 5 | 9 | 4 |
– | 5 | | |
| 9 | | |
– | 5 | | |
| 4 | 4 | |
– | 4 | 0 | |
| | 4 | |
STEP 0: set up a division table
|
| | | |
5 | 5 | 9 | 4 |
STEP 1: DIVIDE 5 : 5 = 1 with a remainder of 0
|
| 1 | | |
5 | 5 | 9 | 4 |
STEP 2: MULTIPLY 1 · 5 = 5
|
| 1 | | |
5 | 5 | 9 | 4 |
| 5 | | |
STEP 3: SUBTRACT 5 - 5 = 0
|
| 1 | | |
5 | 5 | 9 | 4 |
– | 5 | | |
| 0 | | |
STEP 4: BRING DOWN
|
| 1 | | |
5 | 5 | 9 | 4 |
– | 5 | | |
| 9 | | |
STEP 5: DIVIDE 9 : 5 = 1 with a remainder of 4
|
| 1 | 1 | |
5 | 5 | 9 | 4 |
– | 5 | | |
| 9 | | |
STEP 6: MULTIPLY 1 · 5 = 5
|
| 1 | 1 | |
5 | 5 | 9 | 4 |
– | 5 | | |
| 9 | | |
| 5 | | |
STEP 7: SUBTRACT 9 - 5 = 4
|
| 1 | 1 | |
5 | 5 | 9 | 4 |
– | 5 | | |
| 9 | | |
– | 5 | | |
| 4 | | |
STEP 8: BRING DOWN
|
| 1 | 1 | |
5 | 5 | 9 | 4 |
– | 5 | | |
| 9 | | |
– | 5 | | |
| 4 | 4 | |
STEP 9: DIVIDE 44 : 5 = 8 with a remainder of 4
|
| 1 | 1 | 8 |
5 | 5 | 9 | 4 |
– | 5 | | |
| 9 | | |
– | 5 | | |
| 4 | 4 | |
STEP 10: MULTIPLY 8 · 5 = 40
|
| 1 | 1 | 8 |
5 | 5 | 9 | 4 |
– | 5 | | |
| 9 | | |
– | 5 | | |
| 4 | 4 | |
| 4 | 0 | |
STEP 11: SUBTRACT 44 - 40 = 4
|
| 1 | 1 | 8 |
5 | 5 | 9 | 4 |
– | 5 | | |
| 9 | | |
– | 5 | | |
| 4 | 4 | |
– | 4 | 0 | |
| | 4 | |
STEP 11: SUBTRACT 44 - 40 = 4
|
| 1 | 1 | 8 |
5 | 5 | 9 | 4 |
– | 5 | | |
| 9 | | |
– | 5 | | |
| 4 | 4 | |
– | 4 | 0 | |
| | 4 | |
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