We're dividing 19381957 by 513 
We're looking to find how many times 513 goes into 19381957.

Advancing to step 1:
The number 513 fits into 1 0 times, leaving a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Grab the next digit (9) from the dividend, add it to 1, then carry on: 19 / 513

Going ahead to step 2:
19 divided by 513 is 0 with a remainder of 19.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 19, we get 19.
Bring next digit (3) of the dividend behind the 19 and repeat the process: 193 / 513

Moving on to step 3:
513 can be fit into 193 0 times, resulting in a remainder of 193.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 193, we get 193.
Append the next digit (8) from the dividend to 193 and continue with: 1938 / 513

Moving on to step 4:
1938 divided by 513 is 3 with a remainder of 399.
The next digit of our result is 3. 
Result so far: 3.0
The remainder is 399 after subtracting 1539 from 1938.
Grab the next digit (1) from the dividend, add it to 399, then carry on: 3991 / 513

On to step 5:
The number 513 fits into 3991 7 times, leaving a remainder of 400.
Record the quotient 7 as the next digit in the result. 
Result so far: 37.0
The remainder is 400 after subtracting 3591 from 3991.
Include the next digit (9) from the dividend after 400, then repeat: 4009 / 513

Going ahead to step 6:
The number 513 fits into 4009 7 times, leaving a remainder of 418.
Use 7 as the next digit of our solution. 
Result so far: 377.0
Deduct 3591 from 4009 and we're left with 418.
Bring next digit (5) of the dividend behind the 418 and repeat the process: 4185 / 513

Moving on to step 7:
When dividing 4185 by 513, we get 8 with a remainder of 81.
Put 8 as the next digit of the answer. 
Result so far: 3778.0
Subtract 4104 from 4185 to get 81.
Grab the next digit (7) from the dividend, add it to 81, then carry on: 817 / 513

Going ahead to step 8:
817 divided by 513 is 1 with a remainder of 304.
The number 1 becomes the next digit in our result. 
Result so far: 37781.0
If we subtract 513 from 817, we get 304.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3040, and continue the process.

Going ahead to step 9:
If we divide 3040 by 513, we get 5 and a remainder of 475.
Use 5 as the next digit of our solution. 
Result so far: 37781.5
If we subtract 2565 from 3040, we get 475.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4750, and continue the process.

Moving on to step 10:
If we divide 4750 by 513, we get 9 and a remainder of 133.
Use 9 as the next digit of our solution. 
Result so far: 37781.59
Subtract 4617 from 4750 to get 133.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1330, and continue the process.

Let's proceed to step 11:
When dividing 1330 by 513, we get 2 with a remainder of 304.
Use 2 as the next digit of our solution. 
Result so far: 37781.592
Subtracting 1026 from 1330 leaves us with 304.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3040, and continue the process.

Advancing to step 12:
513 can be fit into 3040 5 times, resulting in a remainder of 475.
Record the quotient 5 as the next digit in the result. 
Result so far: 37781.5925
Subtract 2565 from 3040 to get 475.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4750, and continue the process.

Going ahead to step 13:
4750 divided by 513 is 9 with a remainder of 133.
Record the quotient 9 as the next digit in the result. 
Result so far: 37781.59259
The remainder is 133 after subtracting 4617 from 4750.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1330, and continue the process.

Advancing to step 14:
If we divide 1330 by 513, we get 2 and a remainder of 304.
Use 2 as the next digit of our solution. 
Result so far: 37781.592592
The remainder is 304 after subtracting 1026 from 1330.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3040, and continue the process.

Going ahead to step 15:
If we divide 3040 by 513, we get 5 and a remainder of 475.
Write down 5 as next digit of the result. 
Result so far: 37781.5925925
Subtract 2565 from 3040 to get 475.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4750, and continue the process.

Going ahead to step 16:
4750 divided by 513 is 9 with a remainder of 133.
The next digit of our result is 9. 
Result so far: 37781.59259259
Subtracting 4617 from 4750 leaves us with 133.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1330, and continue the process.

The final result is 37781.59259259 with a remainder of 1.33e-07.