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What is the quotient and remainder when $ 298 $ is divided by $ 5 $ ?
Answer
The quotient is 59 and the remainder is 3.
Explanation
Division Table
|
| 0 | 5 | 9 |
5 | 2 | 9 | 8 |
– | 0 | | |
| 2 | 9 | |
– | 2 | 5 | |
| | 4 | 8 |
| – | 4 | 5 |
| | | 3 |
STEP 0: set up a division table
|
| | | |
5 | 2 | 9 | 8 |
STEP 1: DIVIDE 2 : 5 = 0 with a remainder of 2
|
| 0 | | |
5 | 2 | 9 | 8 |
STEP 2: MULTIPLY 0 · 5 = 0
|
| 0 | | |
5 | 2 | 9 | 8 |
| 0 | | |
STEP 3: SUBTRACT 2 - 0 = 2
|
| 0 | | |
5 | 2 | 9 | 8 |
– | 0 | | |
| 2 | | |
STEP 4: BRING DOWN
|
| 0 | | |
5 | 2 | 9 | 8 |
– | 0 | | |
| 2 | 9 | |
STEP 5: DIVIDE 29 : 5 = 5 with a remainder of 4
|
| 0 | 5 | |
5 | 2 | 9 | 8 |
– | 0 | | |
| 2 | 9 | |
STEP 6: MULTIPLY 5 · 5 = 25
|
| 0 | 5 | |
5 | 2 | 9 | 8 |
– | 0 | | |
| 2 | 9 | |
| 2 | 5 | |
STEP 7: SUBTRACT 29 - 25 = 4
|
| 0 | 5 | |
5 | 2 | 9 | 8 |
– | 0 | | |
| 2 | 9 | |
– | 2 | 5 | |
| | 4 | |
STEP 8: BRING DOWN
|
| 0 | 5 | |
5 | 2 | 9 | 8 |
– | 0 | | |
| 2 | 9 | |
– | 2 | 5 | |
| | 4 | 8 |
STEP 9: DIVIDE 48 : 5 = 9 with a remainder of 3
|
| 0 | 5 | 9 |
5 | 2 | 9 | 8 |
– | 0 | | |
| 2 | 9 | |
– | 2 | 5 | |
| | 4 | 8 |
STEP 10: MULTIPLY 9 · 5 = 45
|
| 0 | 5 | 9 |
5 | 2 | 9 | 8 |
– | 0 | | |
| 2 | 9 | |
– | 2 | 5 | |
| | 4 | 8 |
| | 4 | 5 |
STEP 11: SUBTRACT 48 - 45 = 3
|
| 0 | 5 | 9 |
5 | 2 | 9 | 8 |
– | 0 | | |
| 2 | 9 | |
– | 2 | 5 | |
| | 4 | 8 |
| – | 4 | 5 |
| | | 3 |
STEP 11: SUBTRACT 48 - 45 = 3
|
| 0 | 5 | 9 |
5 | 2 | 9 | 8 |
– | 0 | | |
| 2 | 9 | |
– | 2 | 5 | |
| | 4 | 8 |
| – | 4 | 5 |
| | | 3 |
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