669957 ÷ 90 
We're looking to find how many times 90 goes into 669957.

Advancing to step 1:
When dividing 6 by 90, we get 0 with a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Fetch the next digit (6) from the dividend, attach it to 6 and continue: 66 / 90

Let's proceed to step 2:
The number 90 fits into 66 0 times, leaving a remainder of 66.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 66 to get 66.
Fetch the next digit (9) from the dividend, attach it to 66 and continue: 669 / 90

Moving on to step 3:
90 goes into 669 7 times with a remainder of 39.
Use 7 as the next digit of our solution. 
Result so far: 7.0
Subtracting 630 from 669 leaves us with 39.
Append the next digit (9) from the dividend to 39 and continue with: 399 / 90

Step 4:
90 goes into 399 4 times with a remainder of 39.
The next digit of our result is 4. 
Result so far: 74.0
Subtracting 360 from 399 leaves us with 39.
Append the next digit (5) from the dividend to 39 and continue with: 395 / 90

On to step 5:
If we divide 395 by 90, we get 4 and a remainder of 35.
Write down 4 as next digit of the result. 
Result so far: 744.0
The remainder is 35 after subtracting 360 from 395.
Include the next digit (7) from the dividend after 35, then repeat: 357 / 90

Advancing to step 6:
If we divide 357 by 90, we get 3 and a remainder of 87.
The number 3 becomes the next digit in our result. 
Result so far: 7443.0
If we take 270 away from 357, we end up with 87.
Since there are no more digits in the dividend, we add a zero to the remainder making it 870, and continue the process.

Step 7:
When dividing 870 by 90, we get 9 with a remainder of 60.
The number 9 becomes the next digit in our result. 
Result so far: 7443.9
Deduct 810 from 870 and we're left with 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

On to step 8:
When dividing 600 by 90, we get 6 with a remainder of 60.
The next digit of our result is 6. 
Result so far: 7443.96
If we take 540 away from 600, we end up with 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Advancing to step 9:
The number 90 fits into 600 6 times, leaving a remainder of 60.
Put 6 as the next digit of the answer. 
Result so far: 7443.966
Subtracting 540 from 600 leaves us with 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Our division results in 7443.966 with a remaining 0.006.