We look at the division of 42335922 by 513 
Our goal is to divide 42335922 by 513.

Let's proceed to step 1:
If we divide 4 by 513, we get 0 and a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Take the next digit (2) from the dividend and append it to 4, then repeat: 42 / 513

Advancing to step 2:
42 divided by 513 is 0 with a remainder of 42.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 42 to get 42.
Fetch the next digit (3) from the dividend, attach it to 42 and continue: 423 / 513

Advancing to step 3:
When dividing 423 by 513, we get 0 with a remainder of 423.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 423 leaves us with 423.
Fetch the next digit (3) from the dividend, attach it to 423 and continue: 4233 / 513

Step 4:
When dividing 4233 by 513, we get 8 with a remainder of 129.
Write down 8 as next digit of the result. 
Result so far: 8.0
Subtract 4104 from 4233 to get 129.
Grab the next digit (5) from the dividend, add it to 129, then carry on: 1295 / 513

On to step 5:
513 goes into 1295 2 times with a remainder of 269.
Put 2 as the next digit of the answer. 
Result so far: 82.0
If we subtract 1026 from 1295, we get 269.
Include the next digit (9) from the dividend after 269, then repeat: 2699 / 513

On to step 6:
When dividing 2699 by 513, we get 5 with a remainder of 134.
The number 5 becomes the next digit in our result. 
Result so far: 825.0
Deduct 2565 from 2699 and we're left with 134.
Grab the next digit (2) from the dividend, add it to 134, then carry on: 1342 / 513

Let's proceed to step 7:
513 goes into 1342 2 times with a remainder of 316.
The next digit of our result is 2. 
Result so far: 8252.0
Subtract 1026 from 1342 to get 316.
Include the next digit (2) from the dividend after 316, then repeat: 3162 / 513

Step 8:
3162 divided by 513 is 6 with a remainder of 84.
Write down 6 as next digit of the result. 
Result so far: 82526.0
Subtracting 3078 from 3162 leaves us with 84.
Since there are no more digits in the dividend, we add a zero to the remainder making it 840, and continue the process.

Let's proceed to step 9:
840 divided by 513 is 1 with a remainder of 327.
The next digit of our result is 1. 
Result so far: 82526.1
Subtracting 513 from 840 leaves us with 327.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3270, and continue the process.

Going ahead to step 10:
When dividing 3270 by 513, we get 6 with a remainder of 192.
The number 6 becomes the next digit in our result. 
Result so far: 82526.16
If we take 3078 away from 3270, we end up with 192.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1920, and continue the process.

Moving on to step 11:
513 goes into 1920 3 times with a remainder of 381.
Write down 3 as next digit of the result. 
Result so far: 82526.163
Deduct 1539 from 1920 and we're left with 381.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3810, and continue the process.

Advancing to step 12:
513 goes into 3810 7 times with a remainder of 219.
Put 7 as the next digit of the answer. 
Result so far: 82526.1637
The remainder is 219 after subtracting 3591 from 3810.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2190, and continue the process.

On to step 13:
513 goes into 2190 4 times with a remainder of 138.
Use 4 as the next digit of our solution. 
Result so far: 82526.16374
The remainder is 138 after subtracting 2052 from 2190.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1380, and continue the process.

Going ahead to step 14:
The number 513 fits into 1380 2 times, leaving a remainder of 354.
Record the quotient 2 as the next digit in the result. 
Result so far: 82526.163742
Subtracting 1026 from 1380 leaves us with 354.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3540, and continue the process.

Step 15:
If we divide 3540 by 513, we get 6 and a remainder of 462.
Write down 6 as next digit of the result. 
Result so far: 82526.1637426
If we subtract 3078 from 3540, we get 462.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4620, and continue the process.

Going ahead to step 16:
When dividing 4620 by 513, we get 9 with a remainder of 3.
Put 9 as the next digit of the answer. 
Result so far: 82526.16374269
If we take 4617 away from 4620, we end up with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

In conclusion, the division gives 82526.16374269 with a balance of 3e-09.