76514 ÷ 39 
Our goal is to divide 76514 by 39.

Going ahead to step 1:
If we divide 7 by 39, we get 0 and a remainder of 7.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 7 after subtracting 0 from 7.
Bring next digit (6) of the dividend behind the 7 and repeat the process: 76 / 39

Moving on to step 2:
When dividing 76 by 39, we get 1 with a remainder of 37.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtracting 39 from 76 leaves us with 37.
Append the next digit (5) from the dividend to 37 and continue with: 375 / 39

Moving on to step 3:
39 goes into 375 9 times with a remainder of 24.
Write down 9 as next digit of the result. 
Result so far: 19.0
Subtracting 351 from 375 leaves us with 24.
Grab the next digit (1) from the dividend, add it to 24, then carry on: 241 / 39

Advancing to step 4:
If we divide 241 by 39, we get 6 and a remainder of 7.
Put 6 as the next digit of the answer. 
Result so far: 196.0
Subtracting 234 from 241 leaves us with 7.
Append the next digit (4) from the dividend to 7 and continue with: 74 / 39

Step 5:
When dividing 74 by 39, we get 1 with a remainder of 35.
The next digit of our result is 1. 
Result so far: 1961.0
Deduct 39 from 74 and we're left 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.

Advancing to step 6:
39 can be fit into 350 8 times, resulting in a remainder of 38.
Record the quotient 8 as the next digit in the result. 
Result so far: 1961.8
If we subtract 312 from 350, we get 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Going ahead to step 7:
If we divide 380 by 39, we get 9 and a remainder of 29.
Record the quotient 9 as the next digit in the result. 
Result so far: 1961.89
If we take 351 away from 380, we end up 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 8:
If we divide 290 by 39, we get 7 and a remainder of 17.
Use 7 as the next digit of our solution. 
Result so far: 1961.897
If we take 273 away from 290, we end up 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 9:
170 divided by 39 is 4 with a remainder of 14.
Put 4 as the next digit of the answer. 
Result so far: 1961.8974
If we take 156 away from 170, we end up with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Moving on to step 10:
140 divided by 39 is 3 with a remainder of 23.
Use 3 as the next digit of our solution. 
Result so far: 1961.89743
If we take 117 away from 140, we end up with 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

On to step 11:
The number 39 fits into 230 5 times, leaving a remainder of 35.
Write down 5 as next digit of the result. 
Result so far: 1961.897435
If we subtract 195 from 230, we get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Advancing to step 12:
39 can be fit into 350 8 times, resulting in a remainder of 38.
Put 8 as the next digit of the answer. 
Result so far: 1961.8974358
Subtracting 312 from 350 leaves us with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Advancing to step 13:
380 divided by 39 is 9 with a remainder of 29.
The number 9 becomes the next digit in our result. 
Result so far: 1961.89743589
If we take 351 away from 380, we end up 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.

The final result is 1961.89743589 with a remainder of 2.9e-08.