812569 ÷ 61 
Our goal is to divide 812569 by 61.

Going ahead to step 1:
The number 61 fits into 8 0 times, leaving a remainder of 8.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 8, we end up with 8.
Append the next digit (1) from the dividend to 8 and continue with: 81 / 61

Step 2:
The number 61 fits into 81 1 times, leaving a remainder of 20.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Deduct 61 from 81 and we're left with 20.
Grab the next digit (2) from the dividend, add it to 20, then carry on: 202 / 61

Moving on to step 3:
If we divide 202 by 61, we get 3 and a remainder of 19.
The number 3 becomes the next digit in our result. 
Result so far: 13.0
If we subtract 183 from 202, we get 19.
Take the next digit (5) from the dividend and append it to 19, then repeat: 195 / 61

Going ahead to step 4:
61 goes into 195 3 times with a remainder of 12.
Record the quotient 3 as the next digit in the result. 
Result so far: 133.0
Subtract 183 from 195 to get 12.
Append the next digit (6) from the dividend to 12 and continue with: 126 / 61

Step 5:
61 goes into 126 2 times with a remainder of 4.
The number 2 becomes the next digit in our result. 
Result so far: 1332.0
Subtract 122 from 126 to get 4.
Fetch the next digit (9) from the dividend, attach it to 4 and continue: 49 / 61

Let's proceed to step 6:
When dividing 49 by 61, we get 0 with a remainder of 49.
The next digit of our result is 0. 
Result so far: 13320.0
Deduct 0 from 49 and we're left with 49.
Since there are no more digits in the dividend, we add a zero to the remainder making it 490, and continue the process.

Advancing to step 7:
61 goes into 490 8 times with a remainder of 2.
The number 8 becomes the next digit in our result. 
Result so far: 13320.8
Subtracting 488 from 490 leaves us with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

On to step 8:
61 goes into 20 0 times with a remainder of 20.
The next digit of our result is 0. 
Result so far: 13320.8
Deduct 0 from 20 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.

Let's proceed to step 9:
The number 61 fits into 200 3 times, leaving a remainder of 17.
Use 3 as the next digit of our solution. 
Result so far: 13320.803
Deduct 183 from 200 and we're left with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Going ahead to step 10:
The number 61 fits into 170 2 times, leaving a remainder of 48.
The next digit of our result is 2. 
Result so far: 13320.8032
If we subtract 122 from 170, we get 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Going ahead to step 11:
61 can be fit into 480 7 times, resulting in a remainder of 53.
Put 7 as the next digit of the answer. 
Result so far: 13320.80327
If we subtract 427 from 480, we get 53.
Since there are no more digits in the dividend, we add a zero to the remainder making it 530, and continue the process.

On to step 12:
530 divided by 61 is 8 with a remainder of 42.
The number 8 becomes the next digit in our result. 
Result so far: 13320.803278
Subtract 488 from 530 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.

On to step 13:
420 divided by 61 is 6 with a remainder of 54.
Record the quotient 6 as the next digit in the result. 
Result so far: 13320.8032786
If we take 366 away from 420, we end up with 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

Step 14:
61 goes into 540 8 times with a remainder of 52.
Write down 8 as next digit of the result. 
Result so far: 13320.80327868
If we take 488 away from 540, we end up with 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

The quotient of the division is 13320.80327868, and the remainder is 5.2e-08.