We're dividing 554426 by 36 
We want to figure out the number of times 554426 can be divided by 36.

Advancing to step 1:
If we divide 5 by 36, we get 0 and a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Take the next digit (5) from the dividend and append it to 5, then repeat: 55 / 36

Going ahead to step 2:
55 divided by 36 is 1 with a remainder of 19.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we take 36 away from 55, we end up with 19.
Grab the next digit (4) from the dividend, add it to 19, then carry on: 194 / 36

Going ahead to step 3:
When dividing 194 by 36, we get 5 with a remainder of 14.
Write down 5 as next digit of the result. 
Result so far: 15.0
The remainder is 14 after subtracting 180 from 194.
Fetch the next digit (4) from the dividend, attach it to 14 and continue: 144 / 36

Going ahead to step 4:
If we divide 144 by 36, we get 4 and a remainder of 0.
Write down 4 as next digit of the result. 
Result so far: 154.0
Deduct 144 from 144 and we're left with 0.
Bring next digit (2) of the dividend behind the 0 and repeat the process: 2 / 36

Advancing to step 5:
2 divided by 36 is 0 with a remainder of 2.
The number 0 becomes the next digit in our result. 
Result so far: 1540.0
Subtracting 0 from 2 leaves us with 2.
Fetch the next digit (6) from the dividend, attach it to 2 and continue: 26 / 36

Step 6:
36 goes into 26 0 times with a remainder of 26.
Record the quotient 0 as the next digit in the result. 
Result so far: 15400.0
If we take 0 away from 26, we end up with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Step 7:
The number 36 fits into 260 7 times, leaving a remainder of 8.
Put 7 as the next digit of the answer. 
Result so far: 15400.7
Subtracting 252 from 260 leaves us with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Advancing to step 8:
When dividing 80 by 36, we get 2 with a remainder of 8.
Write down 2 as next digit of the result. 
Result so far: 15400.72
The remainder is 8 after subtracting 72 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

On to step 9:
36 can be fit into 80 2 times, resulting in a remainder of 8.
Put 2 as the next digit of the answer. 
Result so far: 15400.722
Subtract 72 from 80 to get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Our division results in 15400.722 with a remaining 0.0008.