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What is the quotient and remainder when $ 123 $ is divided by $ 5 $ ?
Answer
The quotient is 24 and the remainder is 3.
Explanation
Division Table
|
| 0 | 2 | 4 |
5 | 1 | 2 | 3 |
– | 0 | | |
| 1 | 2 | |
– | 1 | 0 | |
| | 2 | 3 |
| – | 2 | 0 |
| | | 3 |
STEP 0: set up a division table
|
| | | |
5 | 1 | 2 | 3 |
STEP 1: DIVIDE 1 : 5 = 0 with a remainder of 1
|
| 0 | | |
5 | 1 | 2 | 3 |
STEP 2: MULTIPLY 0 · 5 = 0
|
| 0 | | |
5 | 1 | 2 | 3 |
| 0 | | |
STEP 3: SUBTRACT 1 - 0 = 1
|
| 0 | | |
5 | 1 | 2 | 3 |
– | 0 | | |
| 1 | | |
STEP 4: BRING DOWN
|
| 0 | | |
5 | 1 | 2 | 3 |
– | 0 | | |
| 1 | 2 | |
STEP 5: DIVIDE 12 : 5 = 2 with a remainder of 2
|
| 0 | 2 | |
5 | 1 | 2 | 3 |
– | 0 | | |
| 1 | 2 | |
STEP 6: MULTIPLY 2 · 5 = 10
|
| 0 | 2 | |
5 | 1 | 2 | 3 |
– | 0 | | |
| 1 | 2 | |
| 1 | 0 | |
STEP 7: SUBTRACT 12 - 10 = 2
|
| 0 | 2 | |
5 | 1 | 2 | 3 |
– | 0 | | |
| 1 | 2 | |
– | 1 | 0 | |
| | 2 | |
STEP 8: BRING DOWN
|
| 0 | 2 | |
5 | 1 | 2 | 3 |
– | 0 | | |
| 1 | 2 | |
– | 1 | 0 | |
| | 2 | 3 |
STEP 9: DIVIDE 23 : 5 = 4 with a remainder of 3
|
| 0 | 2 | 4 |
5 | 1 | 2 | 3 |
– | 0 | | |
| 1 | 2 | |
– | 1 | 0 | |
| | 2 | 3 |
STEP 10: MULTIPLY 4 · 5 = 20
|
| 0 | 2 | 4 |
5 | 1 | 2 | 3 |
– | 0 | | |
| 1 | 2 | |
– | 1 | 0 | |
| | 2 | 3 |
| | 2 | 0 |
STEP 11: SUBTRACT 23 - 20 = 3
|
| 0 | 2 | 4 |
5 | 1 | 2 | 3 |
– | 0 | | |
| 1 | 2 | |
– | 1 | 0 | |
| | 2 | 3 |
| – | 2 | 0 |
| | | 3 |
STEP 11: SUBTRACT 23 - 20 = 3
|
| 0 | 2 | 4 |
5 | 1 | 2 | 3 |
– | 0 | | |
| 1 | 2 | |
– | 1 | 0 | |
| | 2 | 3 |
| – | 2 | 0 |
| | | 3 |
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