back to index
What is the quotient and remainder when $ 21995 $ is divided by $ 8300 $ ?
Answer
The quotient is 2 and the remainder is 5395.
Explanation
|
Division Table
|
| | | | | 0 | 0 | 0 | 0 | 2 |
| 8 | 3 | 0 | 0 | 2 | 1 | 9 | 9 | 5 |
| | | | – | 0 | | | | |
| | | | | 2 | 1 | | | |
| | | | | – | 0 | | | |
| | | | | 2 | 1 | 9 | | |
| | | | | | – | 0 | | |
| | | | | 2 | 1 | 9 | 9 | |
| | | | | | | – | 0 | |
| | | | | 2 | 1 | 9 | 9 | 5 |
| | | | – | 1 | 6 | 6 | 0 | 0 |
| | | | | | 5 | 3 | 9 | 5 |
STEP 0:
set up a division table
|
| | | | | | | | | |
| 8 | 3 | 0 | 0 | 2 | 1 | 9 | 9 | 5 |
STEP 1: DIVIDE
2 : 8300 = 0 with a remainder of 2
|
| | | | | 0 | | | | |
| 8 | 3 | 0 | 0 | 2 | 1 | 9 | 9 | 5 |
STEP 2: MULTIPLY
0 · 8300 = 0
|
| | | | | 0 | | | | |
| 8 | 3 | 0 | 0 | 2 | 1 | 9 | 9 | 5 |
| | | | | 0 | | | | |
STEP 3: SUBTRACT
2 - 0 = 2
|
| | | | | 0 | | | | |
| 8 | 3 | 0 | 0 | 2 | 1 | 9 | 9 | 5 |
| | | | – | 0 | | | | |
| | | | | 2 | | | | |
|
STEP 4: BRING DOWN
|
| | | | | 0 | | | | |
| 8 | 3 | 0 | 0 | 2 | 1 | 9 | 9 | 5 |
| | | | – | 0 | | | | |
| | | | | 2 | 1 | | | |
STEP 5: DIVIDE
21 : 8300 = 0 with a remainder of 21
|
| | | | | 0 | 0 | | | |
| 8 | 3 | 0 | 0 | 2 | 1 | 9 | 9 | 5 |
| | | | – | 0 | | | | |
| | | | | 2 | 1 | | | |
STEP 6: MULTIPLY
0 · 8300 = 0
|
| | | | | 0 | 0 | | | |
| 8 | 3 | 0 | 0 | 2 | 1 | 9 | 9 | 5 |
| | | | – | 0 | | | | |
| | | | | 2 | 1 | | | |
| | | | | | 0 | | | |
STEP 7: SUBTRACT
21 - 0 = 21
|
| | | | | 0 | 0 | | | |
| 8 | 3 | 0 | 0 | 2 | 1 | 9 | 9 | 5 |
| | | | – | 0 | | | | |
| | | | | 2 | 1 | | | |
| | | | | – | 0 | | | |
| | | | | 2 | 1 | | | |
|
STEP 8: BRING DOWN
|
| | | | | 0 | 0 | | | |
| 8 | 3 | 0 | 0 | 2 | 1 | 9 | 9 | 5 |
| | | | – | 0 | | | | |
| | | | | 2 | 1 | | | |
| | | | | – | 0 | | | |
| | | | | 2 | 1 | 9 | | |
STEP 9: DIVIDE
219 : 8300 = 0 with a remainder of 219
|
| | | | | 0 | 0 | 0 | | |
| 8 | 3 | 0 | 0 | 2 | 1 | 9 | 9 | 5 |
| | | | – | 0 | | | | |
| | | | | 2 | 1 | | | |
| | | | | – | 0 | | | |
| | | | | 2 | 1 | 9 | | |
STEP 10: MULTIPLY
0 · 8300 = 0
|
| | | | | 0 | 0 | 0 | | |
| 8 | 3 | 0 | 0 | 2 | 1 | 9 | 9 | 5 |
| | | | – | 0 | | | | |
| | | | | 2 | 1 | | | |
| | | | | – | 0 | | | |
| | | | | 2 | 1 | 9 | | |
| | | | | | | 0 | | |
STEP 11: SUBTRACT
219 - 0 = 219
|
| | | | | 0 | 0 | 0 | | |
| 8 | 3 | 0 | 0 | 2 | 1 | 9 | 9 | 5 |
| | | | – | 0 | | | | |
| | | | | 2 | 1 | | | |
| | | | | – | 0 | | | |
| | | | | 2 | 1 | 9 | | |
| | | | | | – | 0 | | |
| | | | | 2 | 1 | 9 | | |
|
STEP 12: BRING DOWN
|
| | | | | 0 | 0 | 0 | | |
| 8 | 3 | 0 | 0 | 2 | 1 | 9 | 9 | 5 |
| | | | – | 0 | | | | |
| | | | | 2 | 1 | | | |
| | | | | – | 0 | | | |
| | | | | 2 | 1 | 9 | | |
| | | | | | – | 0 | | |
| | | | | 2 | 1 | 9 | 9 | |
STEP 13: DIVIDE
2199 : 8300 = 0 with a remainder of 2199
|
| | | | | 0 | 0 | 0 | 0 | |
| 8 | 3 | 0 | 0 | 2 | 1 | 9 | 9 | 5 |
| | | | – | 0 | | | | |
| | | | | 2 | 1 | | | |
| | | | | – | 0 | | | |
| | | | | 2 | 1 | 9 | | |
| | | | | | – | 0 | | |
| | | | | 2 | 1 | 9 | 9 | |
STEP 14: MULTIPLY
0 · 8300 = 0
|
| | | | | 0 | 0 | 0 | 0 | |
| 8 | 3 | 0 | 0 | 2 | 1 | 9 | 9 | 5 |
| | | | – | 0 | | | | |
| | | | | 2 | 1 | | | |
| | | | | – | 0 | | | |
| | | | | 2 | 1 | 9 | | |
| | | | | | – | 0 | | |
| | | | | 2 | 1 | 9 | 9 | |
| | | | | | | | 0 | |
STEP 15: SUBTRACT
2199 - 0 = 2199
|
| | | | | 0 | 0 | 0 | 0 | |
| 8 | 3 | 0 | 0 | 2 | 1 | 9 | 9 | 5 |
| | | | – | 0 | | | | |
| | | | | 2 | 1 | | | |
| | | | | – | 0 | | | |
| | | | | 2 | 1 | 9 | | |
| | | | | | – | 0 | | |
| | | | | 2 | 1 | 9 | 9 | |
| | | | | | | – | 0 | |
| | | | | 2 | 1 | 9 | 9 | |
|
STEP 16: BRING DOWN
|
| | | | | 0 | 0 | 0 | 0 | |
| 8 | 3 | 0 | 0 | 2 | 1 | 9 | 9 | 5 |
| | | | – | 0 | | | | |
| | | | | 2 | 1 | | | |
| | | | | – | 0 | | | |
| | | | | 2 | 1 | 9 | | |
| | | | | | – | 0 | | |
| | | | | 2 | 1 | 9 | 9 | |
| | | | | | | – | 0 | |
| | | | | 2 | 1 | 9 | 9 | 5 |
STEP 17: DIVIDE
21995 : 8300 = 2 with a remainder of 5395
|
| | | | | 0 | 0 | 0 | 0 | 2 |
| 8 | 3 | 0 | 0 | 2 | 1 | 9 | 9 | 5 |
| | | | – | 0 | | | | |
| | | | | 2 | 1 | | | |
| | | | | – | 0 | | | |
| | | | | 2 | 1 | 9 | | |
| | | | | | – | 0 | | |
| | | | | 2 | 1 | 9 | 9 | |
| | | | | | | – | 0 | |
| | | | | 2 | 1 | 9 | 9 | 5 |
STEP 18: MULTIPLY
2 · 8300 = 16600
|
| | | | | 0 | 0 | 0 | 0 | 2 |
| 8 | 3 | 0 | 0 | 2 | 1 | 9 | 9 | 5 |
| | | | – | 0 | | | | |
| | | | | 2 | 1 | | | |
| | | | | – | 0 | | | |
| | | | | 2 | 1 | 9 | | |
| | | | | | – | 0 | | |
| | | | | 2 | 1 | 9 | 9 | |
| | | | | | | – | 0 | |
| | | | | 2 | 1 | 9 | 9 | 5 |
| | | | | 1 | 6 | 6 | 0 | 0 |
STEP 19: SUBTRACT
21995 - 16600 = 5395
|
| | | | | 0 | 0 | 0 | 0 | 2 |
| 8 | 3 | 0 | 0 | 2 | 1 | 9 | 9 | 5 |
| | | | – | 0 | | | | |
| | | | | 2 | 1 | | | |
| | | | | – | 0 | | | |
| | | | | 2 | 1 | 9 | | |
| | | | | | – | 0 | | |
| | | | | 2 | 1 | 9 | 9 | |
| | | | | | | – | 0 | |
| | | | | 2 | 1 | 9 | 9 | 5 |
| | | | – | 1 | 6 | 6 | 0 | 0 |
| | | | | | 5 | 3 | 9 | 5 |
STEP 19: SUBTRACT
21995 - 16600 = 5395
|
| | | | | 0 | 0 | 0 | 0 | 2 |
| 8 | 3 | 0 | 0 | 2 | 1 | 9 | 9 | 5 |
| | | | – | 0 | | | | |
| | | | | 2 | 1 | | | |
| | | | | – | 0 | | | |
| | | | | 2 | 1 | 9 | | |
| | | | | | – | 0 | | |
| | | | | 2 | 1 | 9 | 9 | |
| | | | | | | – | 0 | |
| | | | | 2 | 1 | 9 | 9 | 5 |
| | | | – | 1 | 6 | 6 | 0 | 0 |
| | | | | | 5 | 3 | 9 | 5 |
This page was created using
Long division calculator
