back to index
What is the quotient and remainder when $ 4500 $ is divided by $ 256 $ ?
Answer
The quotient is 17 and the remainder is 148.
Explanation
Division Table
|
| | | 0 | 0 | 1 | 7 |
2 | 5 | 6 | 4 | 5 | 0 | 0 |
| | – | 0 | | | |
| | | 4 | 5 | | |
| | | – | 0 | | |
| | | 4 | 5 | 0 | |
| | – | 2 | 5 | 6 | |
| | | 1 | 9 | 4 | 0 |
| | – | 1 | 7 | 9 | 2 |
| | | | 1 | 4 | 8 |
STEP 0: set up a division table
|
| | | | | | |
2 | 5 | 6 | 4 | 5 | 0 | 0 |
STEP 1: DIVIDE 4 : 256 = 0 with a remainder of 4
|
| | | 0 | | | |
2 | 5 | 6 | 4 | 5 | 0 | 0 |
STEP 2: MULTIPLY 0 · 256 = 0
|
| | | 0 | | | |
2 | 5 | 6 | 4 | 5 | 0 | 0 |
| | | 0 | | | |
STEP 3: SUBTRACT 4 - 0 = 4
|
| | | 0 | | | |
2 | 5 | 6 | 4 | 5 | 0 | 0 |
| | – | 0 | | | |
| | | 4 | | | |
STEP 4: BRING DOWN
|
| | | 0 | | | |
2 | 5 | 6 | 4 | 5 | 0 | 0 |
| | – | 0 | | | |
| | | 4 | 5 | | |
STEP 5: DIVIDE 45 : 256 = 0 with a remainder of 45
|
| | | 0 | 0 | | |
2 | 5 | 6 | 4 | 5 | 0 | 0 |
| | – | 0 | | | |
| | | 4 | 5 | | |
STEP 6: MULTIPLY 0 · 256 = 0
|
| | | 0 | 0 | | |
2 | 5 | 6 | 4 | 5 | 0 | 0 |
| | – | 0 | | | |
| | | 4 | 5 | | |
| | | | 0 | | |
STEP 7: SUBTRACT 45 - 0 = 45
|
| | | 0 | 0 | | |
2 | 5 | 6 | 4 | 5 | 0 | 0 |
| | – | 0 | | | |
| | | 4 | 5 | | |
| | | – | 0 | | |
| | | 4 | 5 | | |
STEP 8: BRING DOWN
|
| | | 0 | 0 | | |
2 | 5 | 6 | 4 | 5 | 0 | 0 |
| | – | 0 | | | |
| | | 4 | 5 | | |
| | | – | 0 | | |
| | | 4 | 5 | 0 | |
STEP 9: DIVIDE 450 : 256 = 1 with a remainder of 194
|
| | | 0 | 0 | 1 | |
2 | 5 | 6 | 4 | 5 | 0 | 0 |
| | – | 0 | | | |
| | | 4 | 5 | | |
| | | – | 0 | | |
| | | 4 | 5 | 0 | |
STEP 10: MULTIPLY 1 · 256 = 256
|
| | | 0 | 0 | 1 | |
2 | 5 | 6 | 4 | 5 | 0 | 0 |
| | – | 0 | | | |
| | | 4 | 5 | | |
| | | – | 0 | | |
| | | 4 | 5 | 0 | |
| | | 2 | 5 | 6 | |
STEP 11: SUBTRACT 450 - 256 = 194
|
| | | 0 | 0 | 1 | |
2 | 5 | 6 | 4 | 5 | 0 | 0 |
| | – | 0 | | | |
| | | 4 | 5 | | |
| | | – | 0 | | |
| | | 4 | 5 | 0 | |
| | – | 2 | 5 | 6 | |
| | | 1 | 9 | 4 | |
STEP 12: BRING DOWN
|
| | | 0 | 0 | 1 | |
2 | 5 | 6 | 4 | 5 | 0 | 0 |
| | – | 0 | | | |
| | | 4 | 5 | | |
| | | – | 0 | | |
| | | 4 | 5 | 0 | |
| | – | 2 | 5 | 6 | |
| | | 1 | 9 | 4 | 0 |
STEP 13: DIVIDE 1940 : 256 = 7 with a remainder of 148
|
| | | 0 | 0 | 1 | 7 |
2 | 5 | 6 | 4 | 5 | 0 | 0 |
| | – | 0 | | | |
| | | 4 | 5 | | |
| | | – | 0 | | |
| | | 4 | 5 | 0 | |
| | – | 2 | 5 | 6 | |
| | | 1 | 9 | 4 | 0 |
STEP 14: MULTIPLY 7 · 256 = 1792
|
| | | 0 | 0 | 1 | 7 |
2 | 5 | 6 | 4 | 5 | 0 | 0 |
| | – | 0 | | | |
| | | 4 | 5 | | |
| | | – | 0 | | |
| | | 4 | 5 | 0 | |
| | – | 2 | 5 | 6 | |
| | | 1 | 9 | 4 | 0 |
| | | 1 | 7 | 9 | 2 |
STEP 15: SUBTRACT 1940 - 1792 = 148
|
| | | 0 | 0 | 1 | 7 |
2 | 5 | 6 | 4 | 5 | 0 | 0 |
| | – | 0 | | | |
| | | 4 | 5 | | |
| | | – | 0 | | |
| | | 4 | 5 | 0 | |
| | – | 2 | 5 | 6 | |
| | | 1 | 9 | 4 | 0 |
| | – | 1 | 7 | 9 | 2 |
| | | | 1 | 4 | 8 |
STEP 15: SUBTRACT 1940 - 1792 = 148
|
| | | 0 | 0 | 1 | 7 |
2 | 5 | 6 | 4 | 5 | 0 | 0 |
| | – | 0 | | | |
| | | 4 | 5 | | |
| | | – | 0 | | |
| | | 4 | 5 | 0 | |
| | – | 2 | 5 | 6 | |
| | | 1 | 9 | 4 | 0 |
| | – | 1 | 7 | 9 | 2 |
| | | | 1 | 4 | 8 |
This page was created using
Long division calculator