Let's divide 7779 by 31
We're looking to find how many times 31 goes into 7779.

On to step 1:
If we divide 7 by 31, we get 0 and a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 7 after subtracting 0 from 7.
Bring next digit (7) of the dividend behind the 7 and repeat the process: 77 / 31

Advancing to step 2:
When dividing 77 by 31, we get 2 with a remainder of 15.
The number 2 becomes the next digit in our result. 
Result so far: 2.0
The remainder is 15 after subtracting 62 from 77.
Take the next digit (7) from the dividend and append it to 15, then repeat: 157 / 31

On to step 3:
31 can be fit into 157 5 times, resulting in a remainder of 2.
Record the quotient 5 as the next digit in the result. 
Result so far: 25.0
If we take 155 away from 157, we end up with 2.
Append the next digit (9) from the dividend to 2 and continue with: 29 / 31

Advancing to step 4:
When dividing 29 by 31, we get 0 with a remainder of 29.
The number 0 becomes the next digit in our result. 
Result so far: 250.0
Subtracting 0 from 29 leaves us with 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Going ahead to step 5:
31 can be fit into 290 9 times, resulting in a remainder of 11.
Put 9 as the next digit of the answer. 
Result so far: 250.9
Subtracting 279 from 290 leaves us with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Moving on to step 6:
31 can be fit into 110 3 times, resulting in a remainder of 17.
Use 3 as the next digit of our solution. 
Result so far: 250.93
Deduct 93 from 110 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.

Step 7:
31 goes into 170 5 times with a remainder of 15.
The number 5 becomes the next digit in our result. 
Result so far: 250.935
Subtract 155 from 170 to 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:
The number 31 fits into 150 4 times, leaving a remainder of 26.
The number 4 becomes the next digit in our result. 
Result so far: 250.9354
The remainder is 26 after subtracting 124 from 150.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Step 9:
The number 31 fits into 260 8 times, leaving a remainder of 12.
Put 8 as the next digit of the answer. 
Result so far: 250.93548
If we subtract 248 from 260, 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.

Step 10:
31 can be fit into 120 3 times, resulting in a remainder of 27.
Record the quotient 3 as the next digit in the result. 
Result so far: 250.935483
If we take 93 away from 120, we end up with 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Going ahead to step 11:
When dividing 270 by 31, we get 8 with a remainder of 22.
The number 8 becomes the next digit in our result. 
Result so far: 250.9354838
Subtracting 248 from 270 leaves us 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.

On to step 12:
If we divide 220 by 31, we get 7 and a remainder of 3.
Put 7 as the next digit of the answer. 
Result so far: 250.93548387
The remainder is 3 after subtracting 217 from 220.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Our division results in 250.93548387 with a remaining 3e-09.