We divide 10106 by 86
Our goal is to divide 10106 by 86.

On to step 1:
86 goes into 1 0 times with a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Append the next digit (0) from the dividend to 1 and continue with: 10 / 86

Going ahead to step 2:
The number 86 fits into 10 0 times, leaving a remainder of 10.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 10 leaves us with 10.
Fetch the next digit (1) from the dividend, attach it to 10 and continue: 101 / 86

Going ahead to step 3:
101 divided by 86 is 1 with a remainder of 15.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtracting 86 from 101 leaves us with 15.
Append the next digit (0) from the dividend to 15 and continue with: 150 / 86

Advancing to step 4:
When dividing 150 by 86, we get 1 with a remainder of 64.
Write down 1 as next digit of the result. 
Result so far: 11.0
Deduct 86 from 150 and we're left with 64.
Append the next digit (6) from the dividend to 64 and continue with: 646 / 86

Let's proceed to step 5:
646 divided by 86 is 7 with a remainder of 44.
Put 7 as the next digit of the answer. 
Result so far: 117.0
If we subtract 602 from 646, we get 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 6:
86 can be fit into 440 5 times, resulting in a remainder of 10.
The number 5 becomes the next digit in our result. 
Result so far: 117.5
Subtract 430 from 440 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 7:
86 can be fit into 100 1 times, resulting in a remainder of 14.
The next digit of our result is 1. 
Result so far: 117.51
Subtracting 86 from 100 leaves us with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Moving on to step 8:
The number 86 fits into 140 1 times, leaving a remainder of 54.
The number 1 becomes the next digit in our result. 
Result so far: 117.511
If we subtract 86 from 140, we 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.

The quotient of the division is 117.511, and the remainder is 0.0054.