We're dividing 102026 by 86 
We want to figure out the number of times 102026 can be divided by 86.

Advancing to step 1:
The number 86 fits into 1 0 times, leaving a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Bring next digit (0) of the dividend behind the 1 and repeat the process: 10 / 86

Step 2:
The number 86 fits into 10 0 times, leaving a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 10, we get 10.
Take the next digit (2) from the dividend and append it to 10, then repeat: 102 / 86

Let's proceed to step 3:
When dividing 102 by 86, we get 1 with a remainder of 16.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we subtract 86 from 102, we get 16.
Take the next digit (0) from the dividend and append it to 16, then repeat: 160 / 86

Moving on to step 4:
The number 86 fits into 160 1 times, leaving a remainder of 74.
Put 1 as the next digit of the answer. 
Result so far: 11.0
Deduct 86 from 160 and we're left with 74.
Include the next digit (2) from the dividend after 74, then repeat: 742 / 86

On to step 5:
742 divided by 86 is 8 with a remainder of 54.
The next digit of our result is 8. 
Result so far: 118.0
Subtract 688 from 742 to get 54.
Fetch the next digit (6) from the dividend, attach it to 54 and continue: 546 / 86

On to step 6:
The number 86 fits into 546 6 times, leaving a remainder of 30.
Write down 6 as next digit of the result. 
Result so far: 1186.0
Deduct 516 from 546 and we're left with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

On to step 7:
300 divided by 86 is 3 with a remainder of 42.
Write down 3 as next digit of the result. 
Result so far: 1186.3
Subtract 258 from 300 to get 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Step 8:
86 can be fit into 420 4 times, resulting in a remainder of 76.
Use 4 as the next digit of our solution. 
Result so far: 1186.34
If we take 344 away from 420, we end up 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.

Step 9:
If we divide 760 by 86, we get 8 and a remainder of 72.
Record the quotient 8 as the next digit in the result. 
Result so far: 1186.348
If we subtract 688 from 760, we get 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

Moving on to step 10:
720 divided by 86 is 8 with a remainder of 32.
Put 8 as the next digit of the answer. 
Result so far: 1186.3488
The remainder is 32 after subtracting 688 from 720.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

The quotient of the division is 1186.3488, and the remainder is 0.00032.