We're dividing 59382101 by 513 
Our goal is to divide 59382101 by 513.

Going ahead to step 1:
If we divide 5 by 513, we get 0 and a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Fetch the next digit (9) from the dividend, attach it to 5 and continue: 59 / 513

Advancing to step 2:
59 divided by 513 is 0 with a remainder of 59.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 59, we get 59.
Append the next digit (3) from the dividend to 59 and continue with: 593 / 513

Moving on to step 3:
The number 513 fits into 593 1 times, leaving a remainder of 80.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we subtract 513 from 593, we get 80.
Bring next digit (8) of the dividend behind the 80 and repeat the process: 808 / 513

Advancing to step 4:
If we divide 808 by 513, we get 1 and a remainder of 295.
Put 1 as the next digit of the answer. 
Result so far: 11.0
The remainder is 295 after subtracting 513 from 808.
Grab the next digit (2) from the dividend, add it to 295, then carry on: 2952 / 513

Going ahead to step 5:
2952 divided by 513 is 5 with a remainder of 387.
The number 5 becomes the next digit in our result. 
Result so far: 115.0
The remainder is 387 after subtracting 2565 from 2952.
Include the next digit (1) from the dividend after 387, then repeat: 3871 / 513

Advancing to step 6:
The number 513 fits into 3871 7 times, leaving a remainder of 280.
Put 7 as the next digit of the answer. 
Result so far: 1157.0
Subtract 3591 from 3871 to get 280.
Take the next digit (0) from the dividend and append it to 280, then repeat: 2800 / 513

On to step 7:
513 goes into 2800 5 times with a remainder of 235.
Put 5 as the next digit of the answer. 
Result so far: 11575.0
Deduct 2565 from 2800 and we're left with 235.
Take the next digit (1) from the dividend and append it to 235, then repeat: 2351 / 513

Going ahead to step 8:
When dividing 2351 by 513, we get 4 with a remainder of 299.
The number 4 becomes the next digit in our result. 
Result so far: 115754.0
If we subtract 2052 from 2351, we get 299.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2990, and continue the process.

Moving on to step 9:
513 goes into 2990 5 times with a remainder of 425.
The number 5 becomes the next digit in our result. 
Result so far: 115754.5
Subtracting 2565 from 2990 leaves us with 425.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4250, and continue the process.

Step 10:
513 goes into 4250 8 times with a remainder of 146.
The next digit of our result is 8. 
Result so far: 115754.58
If we subtract 4104 from 4250, we get 146.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1460, and continue the process.

Let's proceed to step 11:
The number 513 fits into 1460 2 times, leaving a remainder of 434.
The next digit of our result is 2. 
Result so far: 115754.582
If we subtract 1026 from 1460, we get 434.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4340, and continue the process.

Going ahead to step 12:
4340 divided by 513 is 8 with a remainder of 236.
Use 8 as the next digit of our solution. 
Result so far: 115754.5828
Deduct 4104 from 4340 and we're left with 236.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2360, and continue the process.

Step 13:
When dividing 2360 by 513, we get 4 with a remainder of 308.
Record the quotient 4 as the next digit in the result. 
Result so far: 115754.58284
If we subtract 2052 from 2360, we get 308.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3080, and continue the process.

Advancing to step 14:
513 goes into 3080 6 times with a remainder of 2.
The number 6 becomes the next digit in our result. 
Result so far: 115754.582846
The remainder is 2 after subtracting 3078 from 3080.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

On to step 15:
If we divide 20 by 513, we get 0 and a remainder of 20.
The next digit of our result is 0. 
Result so far: 115754.582846
Subtracting 0 from 20 leaves us with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

On to step 16:
513 goes into 200 0 times with a remainder of 200.
The next digit of our result is 0. 
Result so far: 115754.582846
Subtracting 0 from 200 leaves us with 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2000, and continue the process.

The final result is 115754.582846 with a remainder of 2e-07.