We're dividing 763771 by 61 
We want to figure out the number of times 763771 can be divided by 61.

On to step 1:
The number 61 fits into 7 0 times, leaving a remainder of 7.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 7 to get 7.
Take the next digit (6) from the dividend and append it to 7, then repeat: 76 / 61

Moving on to step 2:
If we divide 76 by 61, we get 1 and a remainder of 15.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Deduct 61 from 76 and we're left with 15.
Include the next digit (3) from the dividend after 15, then repeat: 153 / 61

On to step 3:
61 can be fit into 153 2 times, resulting in a remainder of 31.
Record the quotient 2 as the next digit in the result. 
Result so far: 12.0
Deduct 122 from 153 and we're left with 31.
Bring next digit (7) of the dividend behind the 31 and repeat the process: 317 / 61

Let's proceed to step 4:
61 can be fit into 317 5 times, resulting in a remainder of 12.
The number 5 becomes the next digit in our result. 
Result so far: 125.0
The remainder is 12 after subtracting 305 from 317.
Bring next digit (7) of the dividend behind the 12 and repeat the process: 127 / 61

Going ahead to step 5:
127 divided by 61 is 2 with a remainder of 5.
Write down 2 as next digit of the result. 
Result so far: 1252.0
If we subtract 122 from 127, we get 5.
Take the next digit (1) from the dividend and append it to 5, then repeat: 51 / 61

Going ahead to step 6:
If we divide 51 by 61, we get 0 and a remainder of 51.
Put 0 as the next digit of the answer. 
Result so far: 12520.0
The remainder is 51 after subtracting 0 from 51.
Since there are no more digits in the dividend, we add a zero to the remainder making it 510, and continue the process.

On to step 7:
The number 61 fits into 510 8 times, leaving a remainder of 22.
Write down 8 as next digit of the result. 
Result so far: 12520.8
Deduct 488 from 510 and we're left with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Let's proceed to step 8:
If we divide 220 by 61, we get 3 and a remainder of 37.
Record the quotient 3 as the next digit in the result. 
Result so far: 12520.83
If we subtract 183 from 220, 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:
370 divided by 61 is 6 with a remainder of 4.
Put 6 as the next digit of the answer. 
Result so far: 12520.836
The remainder is 4 after subtracting 366 from 370.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

On to step 10:
The number 61 fits into 40 0 times, leaving a remainder of 40.
Write down 0 as next digit of the result. 
Result so far: 12520.836
Subtract 0 from 40 to get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Let's proceed to step 11:
61 can be fit into 400 6 times, resulting in a remainder of 34.
The next digit of our result is 6. 
Result so far: 12520.83606
If we subtract 366 from 400, we get 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Step 12:
When dividing 340 by 61, we get 5 with a remainder of 35.
Write down 5 as next digit of the result. 
Result so far: 12520.836065
If we take 305 away from 340, we end up with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Moving on to step 13:
61 goes into 350 5 times with a remainder of 45.
Record the quotient 5 as the next digit in the result. 
Result so far: 12520.8360655
If we subtract 305 from 350, we get 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

The quotient of the division is 12520.8360655, and the remainder is 4.5e-07.