We look at the division of 86126 by 77 
We want to figure out the number of times 86126 can be divided by 77.

Going ahead to step 1:
If we divide 8 by 77, we get 0 and a remainder of 8.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 8 leaves us with 8.
Grab the next digit (6) from the dividend, add it to 8, then carry on: 86 / 77

Going ahead to step 2:
77 goes into 86 1 times with a remainder of 9.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtracting 77 from 86 leaves us with 9.
Include the next digit (1) from the dividend after 9, then repeat: 91 / 77

Let's proceed to step 3:
91 divided by 77 is 1 with a remainder of 14.
Use 1 as the next digit of our solution. 
Result so far: 11.0
If we take 77 away from 91, we end up with 14.
Fetch the next digit (2) from the dividend, attach it to 14 and continue: 142 / 77

On to step 4:
77 goes into 142 1 times with a remainder of 65.
The next digit of our result is 1. 
Result so far: 111.0
The remainder is 65 after subtracting 77 from 142.
Append the next digit (6) from the dividend to 65 and continue with: 656 / 77

Advancing to step 5:
656 divided by 77 is 8 with a remainder of 40.
Write down 8 as next digit of the result. 
Result so far: 1118.0
Deduct 616 from 656 and we're left with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Moving on to step 6:
The number 77 fits into 400 5 times, leaving a remainder of 15.
Write down 5 as next digit of the result. 
Result so far: 1118.5
If we subtract 385 from 400, we get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Advancing to step 7:
When dividing 150 by 77, we get 1 with a remainder of 73.
Put 1 as the next digit of the answer. 
Result so far: 1118.51
Subtracting 77 from 150 leaves us with 73.
Since there are no more digits in the dividend, we add a zero to the remainder making it 730, and continue the process.

Let's proceed to step 8:
When dividing 730 by 77, we get 9 with a remainder of 37.
Put 9 as the next digit of the answer. 
Result so far: 1118.519
If we subtract 693 from 730, we get 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

On to step 9:
When dividing 370 by 77, we get 4 with a remainder of 62.
The number 4 becomes the next digit in our result. 
Result so far: 1118.5194
If we take 308 away from 370, we end up with 62.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

Advancing to step 10:
620 divided by 77 is 8 with a remainder of 4.
Record the quotient 8 as the next digit in the result. 
Result so far: 1118.51948
If we take 616 away from 620, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 11:
The number 77 fits into 40 0 times, leaving a remainder of 40.
The number 0 becomes the next digit in our result. 
Result so far: 1118.51948
The remainder is 40 after subtracting 0 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Advancing to step 12:
The number 77 fits into 400 5 times, leaving a remainder of 15.
Put 5 as the next digit of the answer. 
Result so far: 1118.5194805
Subtract 385 from 400 to get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

On to step 13:
When dividing 150 by 77, we get 1 with a remainder of 73.
Write down 1 as next digit of the result. 
Result so far: 1118.51948051
Deduct 77 from 150 and we're left with 73.
Since there are no more digits in the dividend, we add a zero to the remainder making it 730, and continue the process.

The quotient of the division is 1118.51948051, and the remainder is 7.3e-08.