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Question
What is the quotient and remainder when $ 598 $ is divided by $ 5 $ ?
Answer
The quotient is 119 and the remainder is 3.
Explanation
|
Division Table
|
| | 1 | 1 | 9 |
| 5 | 5 | 9 | 8 |
| – | 5 | | |
| | 9 | | |
| – | 5 | | |
| | 4 | 8 | |
| – | 4 | 5 | |
| | | 3 | |
STEP 0: set up a division table
|
| | | | |
| 5 | 5 | 9 | 8 |
STEP 1: DIVIDE 5 : 5 = 1 with a remainder of 0
|
| | 1 | | |
| 5 | 5 | 9 | 8 |
STEP 2: MULTIPLY 1 · 5 = 5
|
| | 1 | | |
| 5 | 5 | 9 | 8 |
| | 5 | | |
STEP 3: SUBTRACT 5 - 5 = 0
|
| | 1 | | |
| 5 | 5 | 9 | 8 |
| – | 5 | | |
| | 0 | | |
|
STEP 4: BRING DOWN
|
| | 1 | | |
| 5 | 5 | 9 | 8 |
| – | 5 | | |
| | 9 | | |
STEP 5: DIVIDE 9 : 5 = 1 with a remainder of 4
|
| | 1 | 1 | |
| 5 | 5 | 9 | 8 |
| – | 5 | | |
| | 9 | | |
STEP 6: MULTIPLY 1 · 5 = 5
|
| | 1 | 1 | |
| 5 | 5 | 9 | 8 |
| – | 5 | | |
| | 9 | | |
| | 5 | | |
STEP 7: SUBTRACT 9 - 5 = 4
|
| | 1 | 1 | |
| 5 | 5 | 9 | 8 |
| – | 5 | | |
| | 9 | | |
| – | 5 | | |
| | 4 | | |
|
STEP 8: BRING DOWN
|
| | 1 | 1 | |
| 5 | 5 | 9 | 8 |
| – | 5 | | |
| | 9 | | |
| – | 5 | | |
| | 4 | 8 | |
STEP 9: DIVIDE 48 : 5 = 9 with a remainder of 3
|
| | 1 | 1 | 9 |
| 5 | 5 | 9 | 8 |
| – | 5 | | |
| | 9 | | |
| – | 5 | | |
| | 4 | 8 | |
STEP 10: MULTIPLY 9 · 5 = 45
|
| | 1 | 1 | 9 |
| 5 | 5 | 9 | 8 |
| – | 5 | | |
| | 9 | | |
| – | 5 | | |
| | 4 | 8 | |
| | 4 | 5 | |
STEP 11: SUBTRACT 48 - 45 = 3
|
| | 1 | 1 | 9 |
| 5 | 5 | 9 | 8 |
| – | 5 | | |
| | 9 | | |
| – | 5 | | |
| | 4 | 8 | |
| – | 4 | 5 | |
| | | 3 | |
STEP 11: SUBTRACT 48 - 45 = 3
|
| | 1 | 1 | 9 |
| 5 | 5 | 9 | 8 |
| – | 5 | | |
| | 9 | | |
| – | 5 | | |
| | 4 | 8 | |
| – | 4 | 5 | |
| | | 3 | |
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