We look at the division of 126518 by 87 
We want to divide 126518 by 87.

Moving on to step 1:
When dividing 1 by 87, we get 0 with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Fetch the next digit (2) from the dividend, attach it to 1 and continue: 12 / 87

Going ahead to step 2:
If we divide 12 by 87, we get 0 and a remainder of 12.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 12, we get 12.
Bring next digit (6) of the dividend behind the 12 and repeat the process: 126 / 87

Moving on to step 3:
126 divided by 87 is 1 with a remainder of 39.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtract 87 from 126 to get 39.
Append the next digit (5) from the dividend to 39 and continue with: 395 / 87

Moving on to step 4:
The number 87 fits into 395 4 times, leaving a remainder of 47.
The next digit of our result is 4. 
Result so far: 14.0
If we subtract 348 from 395, we get 47.
Grab the next digit (1) from the dividend, add it to 47, then carry on: 471 / 87

Moving on to step 5:
The number 87 fits into 471 5 times, leaving a remainder of 36.
The next digit of our result is 5. 
Result so far: 145.0
Subtracting 435 from 471 leaves us with 36.
Grab the next digit (8) from the dividend, add it to 36, then carry on: 368 / 87

Step 6:
If we divide 368 by 87, we get 4 and a remainder of 20.
Record the quotient 4 as the next digit in the result. 
Result so far: 1454.0
Deduct 348 from 368 and we're left with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Going ahead to step 7:
The number 87 fits into 200 2 times, leaving a remainder of 26.
Put 2 as the next digit of the answer. 
Result so far: 1454.2
If we take 174 away from 200, we end up with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Going ahead to step 8:
260 divided by 87 is 2 with a remainder of 86.
Write down 2 as next digit of the result. 
Result so far: 1454.22
If we subtract 174 from 260, we get 86.
Since there are no more digits in the dividend, we add a zero to the remainder making it 860, and continue the process.

The final result is 1454.22 with a remainder of 0.086.