We divide 126514 by 81
Let's see how many times 81 fits into 126514.

On to step 1:
81 can be fit into 1 0 times, resulting in a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Fetch the next digit (2) from the dividend, attach it to 1 and continue: 12 / 81

Let's proceed to step 2:
If we divide 12 by 81, we get 0 and a remainder of 12.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 12 after subtracting 0 from 12.
Take the next digit (6) from the dividend and append it to 12, then repeat: 126 / 81

Moving on to step 3:
If we divide 126 by 81, we get 1 and a remainder of 45.
Write down 1 as next digit of the result. 
Result so far: 1.0
The remainder is 45 after subtracting 81 from 126.
Fetch the next digit (5) from the dividend, attach it to 45 and continue: 455 / 81

Moving on to step 4:
If we divide 455 by 81, we get 5 and a remainder of 50.
Write down 5 as next digit of the result. 
Result so far: 15.0
Deduct 405 from 455 and we're left with 50.
Fetch the next digit (1) from the dividend, attach it to 50 and continue: 501 / 81

Step 5:
The number 81 fits into 501 6 times, leaving a remainder of 15.
Put 6 as the next digit of the answer. 
Result so far: 156.0
If we take 486 away from 501, we end up with 15.
Take the next digit (4) from the dividend and append it to 15, then repeat: 154 / 81

Going ahead to step 6:
81 goes into 154 1 times with a remainder of 73.
Write down 1 as next digit of the result. 
Result so far: 1561.0
Deduct 81 from 154 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.

Advancing to step 7:
81 goes into 730 9 times with a remainder of 1.
The next digit of our result is 9. 
Result so far: 1561.9
The remainder is 1 after subtracting 729 from 730.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

On to step 8:
81 goes into 10 0 times with a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 1561.9
Subtracting 0 from 10 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 9:
The number 81 fits into 100 1 times, leaving a remainder of 19.
Use 1 as the next digit of our solution. 
Result so far: 1561.901
If we subtract 81 from 100, we get 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Going ahead to step 10:
81 goes into 190 2 times with a remainder of 28.
Write down 2 as next digit of the result. 
Result so far: 1561.9012
Subtract 162 from 190 to get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Advancing to step 11:
If we divide 280 by 81, we get 3 and a remainder of 37.
Write down 3 as next digit of the result. 
Result so far: 1561.90123
If we take 243 away from 280, we end up with 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Let's proceed to step 12:
The number 81 fits into 370 4 times, leaving a remainder of 46.
Write down 4 as next digit of the result. 
Result so far: 1561.901234
Subtracting 324 from 370 leaves us with 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Advancing to step 13:
81 can be fit into 460 5 times, resulting in a remainder of 55.
Put 5 as the next digit of the answer. 
Result so far: 1561.9012345
If we take 405 away from 460, we end up with 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Going ahead to step 14:
81 goes into 550 6 times with a remainder of 64.
Record the quotient 6 as the next digit in the result. 
Result so far: 1561.90123456
Deduct 486 from 550 and we're left with 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

The quotient of the division is 1561.90123456, and the remainder is 6.4e-08.