We're dividing 7862 by 86 
We want to figure out the number of times 7862 can be divided by 86.

Advancing to step 1:
If we divide 7 by 86, we get 0 and a remainder of 7.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 7 to get 7.
Include the next digit (8) from the dividend after 7, then repeat: 78 / 86

Advancing to step 2:
If we divide 78 by 86, we get 0 and a remainder of 78.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 78 to get 78.
Append the next digit (6) from the dividend to 78 and continue with: 786 / 86

Advancing to step 3:
86 goes into 786 9 times with a remainder of 12.
The next digit of our result is 9. 
Result so far: 9.0
Subtract 774 from 786 to get 12.
Fetch the next digit (2) from the dividend, attach it to 12 and continue: 122 / 86

Advancing to step 4:
If we divide 122 by 86, we get 1 and a remainder of 36.
Put 1 as the next digit of the answer. 
Result so far: 91.0
If we subtract 86 from 122, we get 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Advancing to step 5:
The number 86 fits into 360 4 times, leaving a remainder of 16.
Use 4 as the next digit of our solution. 
Result so far: 91.4
Subtracting 344 from 360 leaves us with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Let's proceed to step 6:
86 can be fit into 160 1 times, resulting in a remainder of 74.
The next digit of our result is 1. 
Result so far: 91.41
If we take 86 away from 160, we end up with 74.
Since there are no more digits in the dividend, we add a zero to the remainder making it 740, and continue the process.

Moving on to step 7:
86 can be fit into 740 8 times, resulting in a remainder of 52.
Record the quotient 8 as the next digit in the result. 
Result so far: 91.418
Subtracting 688 from 740 leaves us with 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Let's proceed to step 8:
520 divided by 86 is 6 with a remainder of 4.
Record the quotient 6 as the next digit in the result. 
Result so far: 91.4186
Subtract 516 from 520 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Going ahead to step 9:
The number 86 fits into 40 0 times, leaving a remainder of 40.
Record the quotient 0 as the next digit in the result. 
Result so far: 91.4186
If we subtract 0 from 40, we get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Let's proceed to step 10:
400 divided by 86 is 4 with a remainder of 56.
Write down 4 as next digit of the result. 
Result so far: 91.418604
If we take 344 away from 400, we end up with 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Step 11:
When dividing 560 by 86, we get 6 with a remainder of 44.
The number 6 becomes the next digit in our result. 
Result so far: 91.4186046
Deduct 516 from 560 and we're left 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.

Let's proceed to step 12:
440 divided by 86 is 5 with a remainder of 10.
Record the quotient 5 as the next digit in the result. 
Result so far: 91.41860465
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.

Our division results in 91.41860465 with a remaining 1e-08.