We look at the division of 126562 by 86 
We want to figure out the number of times 126562 can be divided by 86.

Going ahead to step 1:
1 divided by 86 is 0 with a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Append the next digit (2) from the dividend to 1 and continue with: 12 / 86

Advancing to step 2:
When dividing 12 by 86, we get 0 with a remainder of 12.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 12 leaves us with 12.
Take the next digit (6) from the dividend and append it to 12, then repeat: 126 / 86

Step 3:
If we divide 126 by 86, we get 1 and a remainder of 40.
The next digit of our result is 1. 
Result so far: 1.0
The remainder is 40 after subtracting 86 from 126.
Take the next digit (5) from the dividend and append it to 40, then repeat: 405 / 86

Moving on to step 4:
405 divided by 86 is 4 with a remainder of 61.
The number 4 becomes the next digit in our result. 
Result so far: 14.0
If we subtract 344 from 405, we get 61.
Include the next digit (6) from the dividend after 61, then repeat: 616 / 86

Moving on to step 5:
86 goes into 616 7 times with a remainder of 14.
Record the quotient 7 as the next digit in the result. 
Result so far: 147.0
If we take 602 away from 616, we end up with 14.
Append the next digit (2) from the dividend to 14 and continue with: 142 / 86

Moving on to step 6:
142 divided by 86 is 1 with a remainder of 56.
Use 1 as the next digit of our solution. 
Result so far: 1471.0
If we subtract 86 from 142, we get 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Let's proceed to step 7:
86 goes into 560 6 times with a remainder of 44.
The number 6 becomes the next digit in our result. 
Result so far: 1471.6
Subtracting 516 from 560 leaves us with 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Moving on to step 8:
The number 86 fits into 440 5 times, leaving a remainder of 10.
Put 5 as the next digit of the answer. 
Result so far: 1471.65
The remainder is 10 after subtracting 430 from 440.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 9:
86 can be fit into 100 1 times, resulting in a remainder of 14.
Put 1 as the next digit of the answer. 
Result so far: 1471.651
Subtract 86 from 100 to get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Let's proceed to step 10:
86 can be fit into 140 1 times, resulting in a remainder of 54.
The next digit of our result is 1. 
Result so far: 1471.6511
Subtract 86 from 140 to get 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

In conclusion, the division gives 1471.6511 with a balance of 0.00054.