109581 ÷ 57 
We're looking to find how many times 57 goes into 109581.

On to step 1:
57 can be fit into 1 0 times, resulting in a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Append the next digit (0) from the dividend to 1 and continue with: 10 / 57

On to step 2:
57 goes into 10 0 times with a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 10 to get 10.
Append the next digit (9) from the dividend to 10 and continue with: 109 / 57

Advancing to step 3:
If we divide 109 by 57, we get 1 and a remainder of 52.
Put 1 as the next digit of the answer. 
Result so far: 1.0
If we take 57 away from 109, we end up with 52.
Include the next digit (5) from the dividend after 52, then repeat: 525 / 57

Step 4:
525 divided by 57 is 9 with a remainder of 12.
The next digit of our result is 9. 
Result so far: 19.0
The remainder is 12 after subtracting 513 from 525.
Append the next digit (8) from the dividend to 12 and continue with: 128 / 57

Going ahead to step 5:
If we divide 128 by 57, we get 2 and a remainder of 14.
The number 2 becomes the next digit in our result. 
Result so far: 192.0
If we subtract 114 from 128, we get 14.
Include the next digit (1) from the dividend after 14, then repeat: 141 / 57

Moving on to step 6:
The number 57 fits into 141 2 times, leaving a remainder of 27.
Put 2 as the next digit of the answer. 
Result so far: 1922.0
Subtract 114 from 141 to get 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Advancing to step 7:
57 goes into 270 4 times with a remainder of 42.
The number 4 becomes the next digit in our result. 
Result so far: 1922.4
Deduct 228 from 270 and we're left with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Going ahead to step 8:
57 can be fit into 420 7 times, resulting in a remainder of 21.
The number 7 becomes the next digit in our result. 
Result so far: 1922.47
Subtracting 399 from 420 leaves us 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.

Let's proceed to step 9:
If we divide 210 by 57, we get 3 and a remainder of 39.
Write down 3 as next digit of the result. 
Result so far: 1922.473
Subtract 171 from 210 to get 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

On to step 10:
57 goes into 390 6 times with a remainder of 48.
Use 6 as the next digit of our solution. 
Result so far: 1922.4736
Deduct 342 from 390 and we're left with 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Let's proceed to step 11:
57 can be fit into 480 8 times, resulting in a remainder of 24.
Write down 8 as next digit of the result. 
Result so far: 1922.47368
If we take 456 away from 480, we end up with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

On to step 12:
57 can be fit into 240 4 times, resulting in a remainder of 12.
The next digit of our result is 4. 
Result so far: 1922.473684
The remainder is 12 after subtracting 228 from 240.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Going ahead to step 13:
The number 57 fits into 120 2 times, leaving a remainder of 6.
Use 2 as the next digit of our solution. 
Result so far: 1922.4736842
Deduct 114 from 120 and we're left with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Let's proceed to step 14:
When dividing 60 by 57, we get 1 with a remainder of 3.
The number 1 becomes the next digit in our result. 
Result so far: 1922.47368421
Subtract 57 from 60 to get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

In conclusion, the division gives 1922.47368421 with a balance of 3e-09.