We look at the division of 35644690 by 669 
We want to figure out the number of times 35644690 can be divided by 669.

Step 1:
When dividing 3 by 669, we get 0 with a remainder of 3.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Include the next digit (5) from the dividend after 3, then repeat: 35 / 669

Advancing to step 2:
The number 669 fits into 35 0 times, leaving a remainder of 35.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 35 leaves us with 35.
Bring next digit (6) of the dividend behind the 35 and repeat the process: 356 / 669

Step 3:
356 divided by 669 is 0 with a remainder of 356.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 356, we end up with 356.
Append the next digit (4) from the dividend to 356 and continue with: 3564 / 669

Advancing to step 4:
If we divide 3564 by 669, we get 5 and a remainder of 219.
Use 5 as the next digit of our solution. 
Result so far: 5.0
Deduct 3345 from 3564 and we're left with 219.
Include the next digit (4) from the dividend after 219, then repeat: 2194 / 669

Step 5:
669 can be fit into 2194 3 times, resulting in a remainder of 187.
Write down 3 as next digit of the result. 
Result so far: 53.0
If we subtract 2007 from 2194, we get 187.
Bring next digit (6) of the dividend behind the 187 and repeat the process: 1876 / 669

Step 6:
When dividing 1876 by 669, we get 2 with a remainder of 538.
Write down 2 as next digit of the result. 
Result so far: 532.0
The remainder is 538 after subtracting 1338 from 1876.
Fetch the next digit (9) from the dividend, attach it to 538 and continue: 5389 / 669

Advancing to step 7:
When dividing 5389 by 669, we get 8 with a remainder of 37.
Write down 8 as next digit of the result. 
Result so far: 5328.0
Subtracting 5352 from 5389 leaves us with 37.
Append the next digit (0) from the dividend to 37 and continue with: 370 / 669

Going ahead to step 8:
If we divide 370 by 669, we get 0 and a remainder of 370.
Use 0 as the next digit of our solution. 
Result so far: 53280.0
Subtract 0 from 370 to get 370.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3700, and continue the process.

Let's proceed to step 9:
669 goes into 3700 5 times with a remainder of 355.
Put 5 as the next digit of the answer. 
Result so far: 53280.5
Subtract 3345 from 3700 to get 355.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3550, and continue the process.

Moving on to step 10:
The number 669 fits into 3550 5 times, leaving a remainder of 205.
Write down 5 as next digit of the result. 
Result so far: 53280.55
The remainder is 205 after subtracting 3345 from 3550.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2050, and continue the process.

In conclusion, the division gives 53280.55 with a balance of 0.205.