35596 ÷ 84 
We want to figure out the number of times 35596 can be divided by 84.

Advancing to step 1:
If we divide 3 by 84, we get 0 and a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Append the next digit (5) from the dividend to 3 and continue with: 35 / 84

Advancing to step 2:
When dividing 35 by 84, we get 0 with a remainder of 35.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 35 and we're left with 35.
Include the next digit (5) from the dividend after 35, then repeat: 355 / 84

Advancing to step 3:
The number 84 fits into 355 4 times, leaving a remainder of 19.
Write down 4 as next digit of the result. 
Result so far: 4.0
Subtracting 336 from 355 leaves us with 19.
Grab the next digit (9) from the dividend, add it to 19, then carry on: 199 / 84

Going ahead to step 4:
If we divide 199 by 84, we get 2 and a remainder of 31.
The number 2 becomes the next digit in our result. 
Result so far: 42.0
The remainder is 31 after subtracting 168 from 199.
Append the next digit (6) from the dividend to 31 and continue with: 316 / 84

Moving on to step 5:
If we divide 316 by 84, we get 3 and a remainder of 64.
Write down 3 as next digit of the result. 
Result so far: 423.0
The remainder is 64 after subtracting 252 from 316.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

On to step 6:
84 goes into 640 7 times with a remainder of 52.
The next digit of our result is 7. 
Result so far: 423.7
If we subtract 588 from 640, we get 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Let's proceed to step 7:
If we divide 520 by 84, we get 6 and a remainder of 16.
Put 6 as the next digit of the answer. 
Result so far: 423.76
If we take 504 away from 520, we end up with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

On to step 8:
The number 84 fits into 160 1 times, leaving a remainder of 76.
The next digit of our result is 1. 
Result so far: 423.761
Subtract 84 from 160 to get 76.
Since there are no more digits in the dividend, we add a zero to the remainder making it 760, and continue the process.

Step 9:
The number 84 fits into 760 9 times, leaving a remainder of 4.
Write down 9 as next digit of the result. 
Result so far: 423.7619
Deduct 756 from 760 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Going ahead to step 10:
If we divide 40 by 84, we get 0 and a remainder of 40.
Put 0 as the next digit of the answer. 
Result so far: 423.7619
The remainder is 40 after subtracting 0 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Moving on to step 11:
84 can be fit into 400 4 times, resulting in a remainder of 64.
The number 4 becomes the next digit in our result. 
Result so far: 423.761904
If we subtract 336 from 400, we get 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Advancing to step 12:
When dividing 640 by 84, we get 7 with a remainder of 52.
Record the quotient 7 as the next digit in the result. 
Result so far: 423.7619047
Subtracting 588 from 640 leaves us with 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Let's proceed to step 13:
If we divide 520 by 84, we get 6 and a remainder of 16.
Put 6 as the next digit of the answer. 
Result so far: 423.76190476
Subtract 504 from 520 to get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

In conclusion, the division gives 423.76190476 with a balance of 1.6e-08.