We look at the division of 57126 by 89 
We want to figure out the number of times 57126 can be divided by 89.

Step 1:
89 goes into 5 0 times with a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Include the next digit (7) from the dividend after 5, then repeat: 57 / 89

On to step 2:
57 divided by 89 is 0 with a remainder of 57.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 57 and we're left with 57.
Grab the next digit (1) from the dividend, add it to 57, then carry on: 571 / 89

Going ahead to step 3:
89 goes into 571 6 times with a remainder of 37.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
The remainder is 37 after subtracting 534 from 571.
Include the next digit (2) from the dividend after 37, then repeat: 372 / 89

On to step 4:
89 can be fit into 372 4 times, resulting in a remainder of 16.
The next digit of our result is 4. 
Result so far: 64.0
If we take 356 away from 372, we end up with 16.
Append the next digit (6) from the dividend to 16 and continue with: 166 / 89

Let's proceed to step 5:
If we divide 166 by 89, we get 1 and a remainder of 77.
Write down 1 as next digit of the result. 
Result so far: 641.0
The remainder is 77 after subtracting 89 from 166.
Since there are no more digits in the dividend, we add a zero to the remainder making it 770, and continue the process.

Advancing to step 6:
89 goes into 770 8 times with a remainder of 58.
Put 8 as the next digit of the answer. 
Result so far: 641.8
Deduct 712 from 770 and we're left with 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

On to step 7:
When dividing 580 by 89, we get 6 with a remainder of 46.
The number 6 becomes the next digit in our result. 
Result so far: 641.86
Deduct 534 from 580 and we're left with 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Advancing to step 8:
89 goes into 460 5 times with a remainder of 15.
Record the quotient 5 as the next digit in the result. 
Result so far: 641.865
Deduct 445 from 460 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.

Let's proceed to step 9:
When dividing 150 by 89, we get 1 with a remainder of 61.
Use 1 as the next digit of our solution. 
Result so far: 641.8651
Subtracting 89 from 150 leaves us with 61.
Since there are no more digits in the dividend, we add a zero to the remainder making it 610, and continue the process.

Moving on to step 10:
89 can be fit into 610 6 times, resulting in a remainder of 76.
Record the quotient 6 as the next digit in the result. 
Result so far: 641.86516
Subtracting 534 from 610 leaves us with 76.
Since there are no more digits in the dividend, we add a zero to the remainder making it 760, and continue the process.

Advancing to step 11:
The number 89 fits into 760 8 times, leaving a remainder of 48.
Use 8 as the next digit of our solution. 
Result so far: 641.865168
Subtracting 712 from 760 leaves us 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.

Moving on to step 12:
The number 89 fits into 480 5 times, leaving a remainder of 35.
The number 5 becomes the next digit in our result. 
Result so far: 641.8651685
The remainder is 35 after subtracting 445 from 480.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Advancing to step 13:
350 divided by 89 is 3 with a remainder of 83.
The number 3 becomes the next digit in our result. 
Result so far: 641.86516853
Deduct 267 from 350 and we're left with 83.
Since there are no more digits in the dividend, we add a zero to the remainder making it 830, and continue the process.

The quotient of the division is 641.86516853, and the remainder is 8.3e-08.