633434 ÷ 86 
Our goal is to divide 633434 by 86.

Advancing to step 1:
6 divided by 86 is 0 with a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Take the next digit (3) from the dividend and append it to 6, then repeat: 63 / 86

On to step 2:
When dividing 63 by 86, we get 0 with a remainder of 63.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 63 after subtracting 0 from 63.
Include the next digit (3) from the dividend after 63, then repeat: 633 / 86

Moving on to step 3:
633 divided by 86 is 7 with a remainder of 31.
Use 7 as the next digit of our solution. 
Result so far: 7.0
Subtracting 602 from 633 leaves us with 31.
Include the next digit (4) from the dividend after 31, then repeat: 314 / 86

Step 4:
86 can be fit into 314 3 times, resulting in a remainder of 56.
Write down 3 as next digit of the result. 
Result so far: 73.0
Deduct 258 from 314 and we're left with 56.
Include the next digit (3) from the dividend after 56, then repeat: 563 / 86

Going ahead to step 5:
86 goes into 563 6 times with a remainder of 47.
Write down 6 as next digit of the result. 
Result so far: 736.0
The remainder is 47 after subtracting 516 from 563.
Bring next digit (4) of the dividend behind the 47 and repeat the process: 474 / 86

Moving on to step 6:
86 goes into 474 5 times with a remainder of 44.
Record the quotient 5 as the next digit in the result. 
Result so far: 7365.0
Subtract 430 from 474 to get 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Moving on to step 7:
86 can be fit into 440 5 times, resulting in a remainder of 10.
Use 5 as the next digit of our solution. 
Result so far: 7365.5
Deduct 430 from 440 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 8:
100 divided by 86 is 1 with a remainder of 14.
Record the quotient 1 as the next digit in the result. 
Result so far: 7365.51
Deduct 86 from 100 and we're left 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.

Going ahead to step 9:
140 divided by 86 is 1 with a remainder of 54.
Put 1 as the next digit of the answer. 
Result so far: 7365.511
Subtracting 86 from 140 leaves us with 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

The quotient of the division is 7365.511, and the remainder is 0.0054.