We look at the division of 36415903 by 669 
We're looking to find how many times 669 goes into 36415903.

On to step 1:
If we divide 3 by 669, we get 0 and a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Grab the next digit (6) from the dividend, add it to 3, then carry on: 36 / 669

Step 2:
When dividing 36 by 669, we get 0 with a remainder of 36.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 36 and we're left with 36.
Append the next digit (4) from the dividend to 36 and continue with: 364 / 669

Step 3:
If we divide 364 by 669, we get 0 and a remainder of 364.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 364 leaves us with 364.
Fetch the next digit (1) from the dividend, attach it to 364 and continue: 3641 / 669

Let's proceed to step 4:
The number 669 fits into 3641 5 times, leaving a remainder of 296.
Put 5 as the next digit of the answer. 
Result so far: 5.0
Subtract 3345 from 3641 to get 296.
Bring next digit (5) of the dividend behind the 296 and repeat the process: 2965 / 669

Advancing to step 5:
669 goes into 2965 4 times with a remainder of 289.
The next digit of our result is 4. 
Result so far: 54.0
If we take 2676 away from 2965, we end up with 289.
Include the next digit (9) from the dividend after 289, then repeat: 2899 / 669

Moving on to step 6:
669 can be fit into 2899 4 times, resulting in a remainder of 223.
The number 4 becomes the next digit in our result. 
Result so far: 544.0
The remainder is 223 after subtracting 2676 from 2899.
Bring next digit (0) of the dividend behind the 223 and repeat the process: 2230 / 669

Going ahead to step 7:
The number 669 fits into 2230 3 times, leaving a remainder of 223.
Use 3 as the next digit of our solution. 
Result so far: 5443.0
Subtracting 2007 from 2230 leaves us with 223.
Fetch the next digit (3) from the dividend, attach it to 223 and continue: 2233 / 669

Step 8:
2233 divided by 669 is 3 with a remainder of 226.
Record the quotient 3 as the next digit in the result. 
Result so far: 54433.0
Subtract 2007 from 2233 to get 226.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2260, and continue the process.

Moving on to step 9:
The number 669 fits into 2260 3 times, leaving a remainder of 253.
The number 3 becomes the next digit in our result. 
Result so far: 54433.3
The remainder is 253 after subtracting 2007 from 2260.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2530, and continue the process.

On to step 10:
2530 divided by 669 is 3 with a remainder of 523.
Put 3 as the next digit of the answer. 
Result so far: 54433.33
If we subtract 2007 from 2530, we get 523.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5230, and continue the process.

In conclusion, the division gives 54433.33 with a balance of 0.523.