We're dividing 85633314 by 900 
We want to figure out the number of times 85633314 can be divided by 900.

Advancing to step 1:
When dividing 8 by 900, we get 0 with a remainder of 8.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 8 after subtracting 0 from 8.
Include the next digit (5) from the dividend after 8, then repeat: 85 / 900

Step 2:
The number 900 fits into 85 0 times, leaving a remainder of 85.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 85 leaves us with 85.
Take the next digit (6) from the dividend and append it to 85, then repeat: 856 / 900

Going ahead to step 3:
The number 900 fits into 856 0 times, leaving a remainder of 856.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 856, we get 856.
Take the next digit (3) from the dividend and append it to 856, then repeat: 8563 / 900

Advancing to step 4:
8563 divided by 900 is 9 with a remainder of 463.
Use 9 as the next digit of our solution. 
Result so far: 9.0
Deduct 8100 from 8563 and we're left with 463.
Fetch the next digit (3) from the dividend, attach it to 463 and continue: 4633 / 900

Let's proceed to step 5:
When dividing 4633 by 900, we get 5 with a remainder of 133.
Write down 5 as next digit of the result. 
Result so far: 95.0
Deduct 4500 from 4633 and we're left with 133.
Include the next digit (3) from the dividend after 133, then repeat: 1333 / 900

On to step 6:
When dividing 1333 by 900, we get 1 with a remainder of 433.
Write down 1 as next digit of the result. 
Result so far: 951.0
Subtracting 900 from 1333 leaves us with 433.
Grab the next digit (1) from the dividend, add it to 433, then carry on: 4331 / 900

On to step 7:
900 goes into 4331 4 times with a remainder of 731.
The next digit of our result is 4. 
Result so far: 9514.0
Deduct 3600 from 4331 and we're left with 731.
Take the next digit (4) from the dividend and append it to 731, then repeat: 7314 / 900

Moving on to step 8:
900 goes into 7314 8 times with a remainder of 114.
Write down 8 as next digit of the result. 
Result so far: 95148.0
If we take 7200 away from 7314, we end up with 114.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1140, and continue the process.

On to step 9:
1140 divided by 900 is 1 with a remainder of 240.
The next digit of our result is 1. 
Result so far: 95148.1
Deduct 900 from 1140 and we're left with 240.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2400, and continue the process.

Step 10:
The number 900 fits into 2400 2 times, leaving a remainder of 600.
Write down 2 as next digit of the result. 
Result so far: 95148.12
If we take 1800 away from 2400, we end up with 600.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6000, and continue the process.

Going ahead to step 11:
900 can be fit into 6000 6 times, resulting in a remainder of 600.
Record the quotient 6 as the next digit in the result. 
Result so far: 95148.126
Subtracting 5400 from 6000 leaves us with 600.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6000, and continue the process.

Moving on to step 12:
900 can be fit into 6000 6 times, resulting in a remainder of 600.
The number 6 becomes the next digit in our result. 
Result so far: 95148.1266
Deduct 5400 from 6000 and we're left with 600.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6000, and continue the process.

After the division, we end up with 95148.1266 and a remainder of 0.006.