back to index
What is the quotient and remainder when $ 4000 $ is divided by $ 160 $ ?
Answer
The quotient is 25 and the remainder is 0.
Explanation
Division Table
|
| | | 0 | 0 | 2 | 5 |
1 | 6 | 0 | 4 | 0 | 0 | 0 |
| | – | 0 | | | |
| | | 4 | 0 | | |
| | | – | 0 | | |
| | | 4 | 0 | 0 | |
| | – | 3 | 2 | 0 | |
| | | | 8 | 0 | 0 |
| | | – | 8 | 0 | 0 |
| | | | | | 0 |
STEP 0: set up a division table
|
| | | | | | |
1 | 6 | 0 | 4 | 0 | 0 | 0 |
STEP 1: DIVIDE 4 : 160 = 0 with a remainder of 4
|
| | | 0 | | | |
1 | 6 | 0 | 4 | 0 | 0 | 0 |
STEP 2: MULTIPLY 0 · 160 = 0
|
| | | 0 | | | |
1 | 6 | 0 | 4 | 0 | 0 | 0 |
| | | 0 | | | |
STEP 3: SUBTRACT 4 - 0 = 4
|
| | | 0 | | | |
1 | 6 | 0 | 4 | 0 | 0 | 0 |
| | – | 0 | | | |
| | | 4 | | | |
STEP 4: BRING DOWN
|
| | | 0 | | | |
1 | 6 | 0 | 4 | 0 | 0 | 0 |
| | – | 0 | | | |
| | | 4 | 0 | | |
STEP 5: DIVIDE 40 : 160 = 0 with a remainder of 40
|
| | | 0 | 0 | | |
1 | 6 | 0 | 4 | 0 | 0 | 0 |
| | – | 0 | | | |
| | | 4 | 0 | | |
STEP 6: MULTIPLY 0 · 160 = 0
|
| | | 0 | 0 | | |
1 | 6 | 0 | 4 | 0 | 0 | 0 |
| | – | 0 | | | |
| | | 4 | 0 | | |
| | | | 0 | | |
STEP 7: SUBTRACT 40 - 0 = 40
|
| | | 0 | 0 | | |
1 | 6 | 0 | 4 | 0 | 0 | 0 |
| | – | 0 | | | |
| | | 4 | 0 | | |
| | | – | 0 | | |
| | | 4 | 0 | | |
STEP 8: BRING DOWN
|
| | | 0 | 0 | | |
1 | 6 | 0 | 4 | 0 | 0 | 0 |
| | – | 0 | | | |
| | | 4 | 0 | | |
| | | – | 0 | | |
| | | 4 | 0 | 0 | |
STEP 9: DIVIDE 400 : 160 = 2 with a remainder of 80
|
| | | 0 | 0 | 2 | |
1 | 6 | 0 | 4 | 0 | 0 | 0 |
| | – | 0 | | | |
| | | 4 | 0 | | |
| | | – | 0 | | |
| | | 4 | 0 | 0 | |
STEP 10: MULTIPLY 2 · 160 = 320
|
| | | 0 | 0 | 2 | |
1 | 6 | 0 | 4 | 0 | 0 | 0 |
| | – | 0 | | | |
| | | 4 | 0 | | |
| | | – | 0 | | |
| | | 4 | 0 | 0 | |
| | | 3 | 2 | 0 | |
STEP 11: SUBTRACT 400 - 320 = 80
|
| | | 0 | 0 | 2 | |
1 | 6 | 0 | 4 | 0 | 0 | 0 |
| | – | 0 | | | |
| | | 4 | 0 | | |
| | | – | 0 | | |
| | | 4 | 0 | 0 | |
| | – | 3 | 2 | 0 | |
| | | | 8 | 0 | |
STEP 12: BRING DOWN
|
| | | 0 | 0 | 2 | |
1 | 6 | 0 | 4 | 0 | 0 | 0 |
| | – | 0 | | | |
| | | 4 | 0 | | |
| | | – | 0 | | |
| | | 4 | 0 | 0 | |
| | – | 3 | 2 | 0 | |
| | | | 8 | 0 | 0 |
STEP 13: DIVIDE 800 : 160 = 5 with a remainder of 0
|
| | | 0 | 0 | 2 | 5 |
1 | 6 | 0 | 4 | 0 | 0 | 0 |
| | – | 0 | | | |
| | | 4 | 0 | | |
| | | – | 0 | | |
| | | 4 | 0 | 0 | |
| | – | 3 | 2 | 0 | |
| | | | 8 | 0 | 0 |
STEP 14: MULTIPLY 5 · 160 = 800
|
| | | 0 | 0 | 2 | 5 |
1 | 6 | 0 | 4 | 0 | 0 | 0 |
| | – | 0 | | | |
| | | 4 | 0 | | |
| | | – | 0 | | |
| | | 4 | 0 | 0 | |
| | – | 3 | 2 | 0 | |
| | | | 8 | 0 | 0 |
| | | | 8 | 0 | 0 |
STEP 15: SUBTRACT 800 - 800 = 0
|
| | | 0 | 0 | 2 | 5 |
1 | 6 | 0 | 4 | 0 | 0 | 0 |
| | – | 0 | | | |
| | | 4 | 0 | | |
| | | – | 0 | | |
| | | 4 | 0 | 0 | |
| | – | 3 | 2 | 0 | |
| | | | 8 | 0 | 0 |
| | | – | 8 | 0 | 0 |
| | | | | | 0 |
STEP 15: SUBTRACT 800 - 800 = 0
|
| | | 0 | 0 | 2 | 5 |
1 | 6 | 0 | 4 | 0 | 0 | 0 |
| | – | 0 | | | |
| | | 4 | 0 | | |
| | | – | 0 | | |
| | | 4 | 0 | 0 | |
| | – | 3 | 2 | 0 | |
| | | | 8 | 0 | 0 |
| | | – | 8 | 0 | 0 |
| | | | | | 0 |
This page was created using
Long division calculator