We look at the division of 75820 by 61 
We're looking to find how many times 61 goes into 75820.

Step 1:
The number 61 fits into 7 0 times, leaving a remainder of 7.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 7 after subtracting 0 from 7.
Bring next digit (5) of the dividend behind the 7 and repeat the process: 75 / 61

Going ahead to step 2:
If we divide 75 by 61, we get 1 and a remainder of 14.
Write down 1 as next digit of the result. 
Result so far: 1.0
If we subtract 61 from 75, we get 14.
Take the next digit (8) from the dividend and append it to 14, then repeat: 148 / 61

Let's proceed to step 3:
61 goes into 148 2 times with a remainder of 26.
The number 2 becomes the next digit in our result. 
Result so far: 12.0
If we take 122 away from 148, we end up with 26.
Grab the next digit (2) from the dividend, add it to 26, then carry on: 262 / 61

Let's proceed to step 4:
61 goes into 262 4 times with a remainder of 18.
Write down 4 as next digit of the result. 
Result so far: 124.0
Subtracting 244 from 262 leaves us with 18.
Fetch the next digit (0) from the dividend, attach it to 18 and continue: 180 / 61

Advancing to step 5:
61 can be fit into 180 2 times, resulting in a remainder of 58.
Write down 2 as next digit of the result. 
Result so far: 1242.0
If we subtract 122 from 180, we get 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Going ahead to step 6:
The number 61 fits into 580 9 times, leaving a remainder of 31.
The next digit of our result is 9. 
Result so far: 1242.9
If we take 549 away from 580, we end up with 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Step 7:
The number 61 fits into 310 5 times, leaving a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 1242.95
If we subtract 305 from 310, we get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Moving on to step 8:
61 goes into 50 0 times with a remainder of 50.
The next digit of our result is 0. 
Result so far: 1242.95
The remainder is 50 after subtracting 0 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Going ahead to step 9:
61 goes into 500 8 times with a remainder of 12.
Put 8 as the next digit of the answer. 
Result so far: 1242.9508
If we subtract 488 from 500, we get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Let's proceed to step 10:
120 divided by 61 is 1 with a remainder of 59.
Write down 1 as next digit of the result. 
Result so far: 1242.95081
The remainder is 59 after subtracting 61 from 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 590, and continue the process.

Let's proceed to step 11:
590 divided by 61 is 9 with a remainder of 41.
The number 9 becomes the next digit in our result. 
Result so far: 1242.950819
If we take 549 away from 590, we end up with 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

Moving on to step 12:
When dividing 410 by 61, we get 6 with a remainder of 44.
Use 6 as the next digit of our solution. 
Result so far: 1242.9508196
Subtracting 366 from 410 leaves us with 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Step 13:
When dividing 440 by 61, we get 7 with a remainder of 13.
Record the quotient 7 as the next digit in the result. 
Result so far: 1242.95081967
The remainder is 13 after subtracting 427 from 440.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Our division results in 1242.95081967 with a remaining 1.3e-08.