579349 ÷ 90 
We want to divide 579349 by 90.

Advancing to step 1:
90 goes into 5 0 times with a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Append the next digit (7) from the dividend to 5 and continue with: 57 / 90

Moving on to step 2:
The number 90 fits into 57 0 times, leaving a remainder of 57.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 57, we get 57.
Append the next digit (9) from the dividend to 57 and continue with: 579 / 90

On to step 3:
When dividing 579 by 90, we get 6 with a remainder of 39.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
Subtract 540 from 579 to get 39.
Take the next digit (3) from the dividend and append it to 39, then repeat: 393 / 90

Moving on to step 4:
90 can be fit into 393 4 times, resulting in a remainder of 33.
Write down 4 as next digit of the result. 
Result so far: 64.0
Subtract 360 from 393 to get 33.
Take the next digit (4) from the dividend and append it to 33, then repeat: 334 / 90

Let's proceed to step 5:
If we divide 334 by 90, we get 3 and a remainder of 64.
The number 3 becomes the next digit in our result. 
Result so far: 643.0
If we take 270 away from 334, we end up with 64.
Grab the next digit (9) from the dividend, add it to 64, then carry on: 649 / 90

Let's proceed to step 6:
The number 90 fits into 649 7 times, leaving a remainder of 19.
Use 7 as the next digit of our solution. 
Result so far: 6437.0
Subtracting 630 from 649 leaves us with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Step 7:
90 can be fit into 190 2 times, resulting in a remainder of 10.
Write down 2 as next digit of the result. 
Result so far: 6437.2
Deduct 180 from 190 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 8:
If we divide 100 by 90, we get 1 and a remainder of 10.
The next digit of our result is 1. 
Result so far: 6437.21
The remainder is 10 after subtracting 90 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 9:
90 goes into 100 1 times with a remainder of 10.
Write down 1 as next digit of the result. 
Result so far: 6437.211
Subtracting 90 from 100 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Our division results in 6437.211 with a remaining 0.001.