Let's divide 566910 by 43
We want to divide 566910 by 43.

Going ahead to step 1:
5 divided by 43 is 0 with a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Append the next digit (6) from the dividend to 5 and continue with: 56 / 43

Going ahead to step 2:
56 divided by 43 is 1 with a remainder of 13.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we subtract 43 from 56, we get 13.
Fetch the next digit (6) from the dividend, attach it to 13 and continue: 136 / 43

Let's proceed to step 3:
43 goes into 136 3 times with a remainder of 7.
The number 3 becomes the next digit in our result. 
Result so far: 13.0
Deduct 129 from 136 and we're left with 7.
Take the next digit (9) from the dividend and append it to 7, then repeat: 79 / 43

On to step 4:
43 goes into 79 1 times with a remainder of 36.
Use 1 as the next digit of our solution. 
Result so far: 131.0
If we take 43 away from 79, we end up with 36.
Append the next digit (1) from the dividend to 36 and continue with: 361 / 43

On to step 5:
43 can be fit into 361 8 times, resulting in a remainder of 17.
The next digit of our result is 8. 
Result so far: 1318.0
Subtract 344 from 361 to get 17.
Grab the next digit (0) from the dividend, add it to 17, then carry on: 170 / 43

Advancing to step 6:
The number 43 fits into 170 3 times, leaving a remainder of 41.
Record the quotient 3 as the next digit in the result. 
Result so far: 13183.0
Subtract 129 from 170 to get 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

On to step 7:
When dividing 410 by 43, we get 9 with a remainder of 23.
The number 9 becomes the next digit in our result. 
Result so far: 13183.9
Deduct 387 from 410 and we're left with 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Going ahead to step 8:
When dividing 230 by 43, we get 5 with a remainder of 15.
Use 5 as the next digit of our solution. 
Result so far: 13183.95
Deduct 215 from 230 and we're left with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Advancing to step 9:
150 divided by 43 is 3 with a remainder of 21.
Write down 3 as next digit of the result. 
Result so far: 13183.953
Deduct 129 from 150 and we're left with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

On to step 10:
If we divide 210 by 43, we get 4 and a remainder of 38.
The next digit of our result is 4. 
Result so far: 13183.9534
If we subtract 172 from 210, we get 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Advancing to step 11:
When dividing 380 by 43, we get 8 with a remainder of 36.
Use 8 as the next digit of our solution. 
Result so far: 13183.95348
If we take 344 away from 380, we end up with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Going ahead to step 12:
360 divided by 43 is 8 with a remainder of 16.
Use 8 as the next digit of our solution. 
Result so far: 13183.953488
The remainder is 16 after subtracting 344 from 360.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

In conclusion, the division gives 13183.953488 with a balance of 1.6e-06.