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What is the quotient and remainder when $ 458 $ is divided by $ 153 $ ?
Answer
The quotient is 2 and the remainder is 152.
Explanation
Division Table
|
| | | 0 | 0 | 2 |
1 | 5 | 3 | 4 | 5 | 8 |
| | – | 0 | | |
| | | 4 | 5 | |
| | | – | 0 | |
| | | 4 | 5 | 8 |
| | – | 3 | 0 | 6 |
| | | 1 | 5 | 2 |
STEP 0: set up a division table
|
| | | | | |
1 | 5 | 3 | 4 | 5 | 8 |
STEP 1: DIVIDE 4 : 153 = 0 with a remainder of 4
|
| | | 0 | | |
1 | 5 | 3 | 4 | 5 | 8 |
STEP 2: MULTIPLY 0 · 153 = 0
|
| | | 0 | | |
1 | 5 | 3 | 4 | 5 | 8 |
| | | 0 | | |
STEP 3: SUBTRACT 4 - 0 = 4
|
| | | 0 | | |
1 | 5 | 3 | 4 | 5 | 8 |
| | – | 0 | | |
| | | 4 | | |
STEP 4: BRING DOWN
|
| | | 0 | | |
1 | 5 | 3 | 4 | 5 | 8 |
| | – | 0 | | |
| | | 4 | 5 | |
STEP 5: DIVIDE 45 : 153 = 0 with a remainder of 45
|
| | | 0 | 0 | |
1 | 5 | 3 | 4 | 5 | 8 |
| | – | 0 | | |
| | | 4 | 5 | |
STEP 6: MULTIPLY 0 · 153 = 0
|
| | | 0 | 0 | |
1 | 5 | 3 | 4 | 5 | 8 |
| | – | 0 | | |
| | | 4 | 5 | |
| | | | 0 | |
STEP 7: SUBTRACT 45 - 0 = 45
|
| | | 0 | 0 | |
1 | 5 | 3 | 4 | 5 | 8 |
| | – | 0 | | |
| | | 4 | 5 | |
| | | – | 0 | |
| | | 4 | 5 | |
STEP 8: BRING DOWN
|
| | | 0 | 0 | |
1 | 5 | 3 | 4 | 5 | 8 |
| | – | 0 | | |
| | | 4 | 5 | |
| | | – | 0 | |
| | | 4 | 5 | 8 |
STEP 9: DIVIDE 458 : 153 = 2 with a remainder of 152
|
| | | 0 | 0 | 2 |
1 | 5 | 3 | 4 | 5 | 8 |
| | – | 0 | | |
| | | 4 | 5 | |
| | | – | 0 | |
| | | 4 | 5 | 8 |
STEP 10: MULTIPLY 2 · 153 = 306
|
| | | 0 | 0 | 2 |
1 | 5 | 3 | 4 | 5 | 8 |
| | – | 0 | | |
| | | 4 | 5 | |
| | | – | 0 | |
| | | 4 | 5 | 8 |
| | | 3 | 0 | 6 |
STEP 11: SUBTRACT 458 - 306 = 152
|
| | | 0 | 0 | 2 |
1 | 5 | 3 | 4 | 5 | 8 |
| | – | 0 | | |
| | | 4 | 5 | |
| | | – | 0 | |
| | | 4 | 5 | 8 |
| | – | 3 | 0 | 6 |
| | | 1 | 5 | 2 |
STEP 11: SUBTRACT 458 - 306 = 152
|
| | | 0 | 0 | 2 |
1 | 5 | 3 | 4 | 5 | 8 |
| | – | 0 | | |
| | | 4 | 5 | |
| | | – | 0 | |
| | | 4 | 5 | 8 |
| | – | 3 | 0 | 6 |
| | | 1 | 5 | 2 |
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