We look at the division of 30979 by 61 
We want to divide 30979 by 61.

On to step 1:
61 can be fit into 3 0 times, resulting in a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Take the next digit (0) from the dividend and append it to 3, then repeat: 30 / 61

Step 2:
The number 61 fits into 30 0 times, leaving a remainder of 30.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 30 after subtracting 0 from 30.
Grab the next digit (9) from the dividend, add it to 30, then carry on: 309 / 61

On to step 3:
309 divided by 61 is 5 with a remainder of 4.
Put 5 as the next digit of the answer. 
Result so far: 5.0
If we take 305 away from 309, we end up with 4.
Take the next digit (7) from the dividend and append it to 4, then repeat: 47 / 61

Going ahead to step 4:
47 divided by 61 is 0 with a remainder of 47.
The next digit of our result is 0. 
Result so far: 50.0
If we take 0 away from 47, we end up with 47.
Take the next digit (9) from the dividend and append it to 47, then repeat: 479 / 61

On to step 5:
If we divide 479 by 61, we get 7 and a remainder of 52.
The next digit of our result is 7. 
Result so far: 507.0
Subtract 427 from 479 to get 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Step 6:
520 divided by 61 is 8 with a remainder of 32.
The next digit of our result is 8. 
Result so far: 507.8
If we subtract 488 from 520, we get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Going ahead to step 7:
When dividing 320 by 61, we get 5 with a remainder of 15.
The next digit of our result is 5. 
Result so far: 507.85
If we subtract 305 from 320, we get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Moving on to step 8:
61 goes into 150 2 times with a remainder of 28.
The next digit of our result is 2. 
Result so far: 507.852
If we take 122 away from 150, we end up with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

On to step 9:
The number 61 fits into 280 4 times, leaving a remainder of 36.
The number 4 becomes the next digit in our result. 
Result so far: 507.8524
Subtract 244 from 280 to get 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Moving on to step 10:
61 can be fit into 360 5 times, resulting in a remainder of 55.
Record the quotient 5 as the next digit in the result. 
Result so far: 507.85245
If we subtract 305 from 360, we get 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Advancing to step 11:
The number 61 fits into 550 9 times, leaving a remainder of 1.
Write down 9 as next digit of the result. 
Result so far: 507.852459
Deduct 549 from 550 and we're left with 1.
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 12:
10 divided by 61 is 0 with a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 507.852459
Subtract 0 from 10 to get 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 13:
The number 61 fits into 100 1 times, leaving a remainder of 39.
Use 1 as the next digit of our solution. 
Result so far: 507.85245901
Subtract 61 from 100 to get 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

The quotient of the division is 507.85245901, and the remainder is 3.9e-08.