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What is the quotient and remainder when $ 468 $ is divided by $ 28 $ ?
Answer
The quotient is 16 and the remainder is 20.
Explanation
Division Table
|
| | 0 | 1 | 6 |
2 | 8 | 4 | 6 | 8 |
| – | 0 | | |
| | 4 | 6 | |
| – | 2 | 8 | |
| | 1 | 8 | 8 |
| – | 1 | 6 | 8 |
| | | 2 | 0 |
STEP 0: set up a division table
|
| | | | |
2 | 8 | 4 | 6 | 8 |
STEP 1: DIVIDE 4 : 28 = 0 with a remainder of 4
|
| | 0 | | |
2 | 8 | 4 | 6 | 8 |
STEP 2: MULTIPLY 0 · 28 = 0
|
| | 0 | | |
2 | 8 | 4 | 6 | 8 |
| | 0 | | |
STEP 3: SUBTRACT 4 - 0 = 4
|
| | 0 | | |
2 | 8 | 4 | 6 | 8 |
| – | 0 | | |
| | 4 | | |
STEP 4: BRING DOWN
|
| | 0 | | |
2 | 8 | 4 | 6 | 8 |
| – | 0 | | |
| | 4 | 6 | |
STEP 5: DIVIDE 46 : 28 = 1 with a remainder of 18
|
| | 0 | 1 | |
2 | 8 | 4 | 6 | 8 |
| – | 0 | | |
| | 4 | 6 | |
STEP 6: MULTIPLY 1 · 28 = 28
|
| | 0 | 1 | |
2 | 8 | 4 | 6 | 8 |
| – | 0 | | |
| | 4 | 6 | |
| | 2 | 8 | |
STEP 7: SUBTRACT 46 - 28 = 18
|
| | 0 | 1 | |
2 | 8 | 4 | 6 | 8 |
| – | 0 | | |
| | 4 | 6 | |
| – | 2 | 8 | |
| | 1 | 8 | |
STEP 8: BRING DOWN
|
| | 0 | 1 | |
2 | 8 | 4 | 6 | 8 |
| – | 0 | | |
| | 4 | 6 | |
| – | 2 | 8 | |
| | 1 | 8 | 8 |
STEP 9: DIVIDE 188 : 28 = 6 with a remainder of 20
|
| | 0 | 1 | 6 |
2 | 8 | 4 | 6 | 8 |
| – | 0 | | |
| | 4 | 6 | |
| – | 2 | 8 | |
| | 1 | 8 | 8 |
STEP 10: MULTIPLY 6 · 28 = 168
|
| | 0 | 1 | 6 |
2 | 8 | 4 | 6 | 8 |
| – | 0 | | |
| | 4 | 6 | |
| – | 2 | 8 | |
| | 1 | 8 | 8 |
| | 1 | 6 | 8 |
STEP 11: SUBTRACT 188 - 168 = 20
|
| | 0 | 1 | 6 |
2 | 8 | 4 | 6 | 8 |
| – | 0 | | |
| | 4 | 6 | |
| – | 2 | 8 | |
| | 1 | 8 | 8 |
| – | 1 | 6 | 8 |
| | | 2 | 0 |
STEP 11: SUBTRACT 188 - 168 = 20
|
| | 0 | 1 | 6 |
2 | 8 | 4 | 6 | 8 |
| – | 0 | | |
| | 4 | 6 | |
| – | 2 | 8 | |
| | 1 | 8 | 8 |
| – | 1 | 6 | 8 |
| | | 2 | 0 |
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