Let's divide 554179 by 90
We're looking to find how many times 90 goes into 554179.

Going ahead to step 1:
5 divided by 90 is 0 with a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Fetch the next digit (5) from the dividend, attach it to 5 and continue: 55 / 90

Going ahead to step 2:
The number 90 fits into 55 0 times, leaving a remainder of 55.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 55 and we're left with 55.
Append the next digit (4) from the dividend to 55 and continue with: 554 / 90

Moving on to step 3:
90 can be fit into 554 6 times, resulting in a remainder of 14.
Put 6 as the next digit of the answer. 
Result so far: 6.0
Deduct 540 from 554 and we're left with 14.
Grab the next digit (1) from the dividend, add it to 14, then carry on: 141 / 90

Step 4:
The number 90 fits into 141 1 times, leaving a remainder of 51.
Write down 1 as next digit of the result. 
Result so far: 61.0
Subtract 90 from 141 to get 51.
Fetch the next digit (7) from the dividend, attach it to 51 and continue: 517 / 90

Let's proceed to step 5:
When dividing 517 by 90, we get 5 with a remainder of 67.
Use 5 as the next digit of our solution. 
Result so far: 615.0
If we subtract 450 from 517, we get 67.
Take the next digit (9) from the dividend and append it to 67, then repeat: 679 / 90

Step 6:
90 goes into 679 7 times with a remainder of 49.
Record the quotient 7 as the next digit in the result. 
Result so far: 6157.0
The remainder is 49 after subtracting 630 from 679.
Since there are no more digits in the dividend, we add a zero to the remainder making it 490, and continue the process.

Going ahead to step 7:
When dividing 490 by 90, we get 5 with a remainder of 40.
Put 5 as the next digit of the answer. 
Result so far: 6157.5
If we take 450 away from 490, we end up with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Advancing to step 8:
90 goes into 400 4 times with a remainder of 40.
Use 4 as the next digit of our solution. 
Result so far: 6157.54
Subtract 360 from 400 to get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Let's proceed to step 9:
When dividing 400 by 90, we get 4 with a remainder of 40.
The next digit of our result is 4. 
Result so far: 6157.544
Subtract 360 from 400 to get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

The quotient of the division is 6157.544, and the remainder is 0.004.