We divide 553516 by 90
We're looking to find how many times 90 goes into 553516.

Moving on to step 1:
The number 90 fits into 5 0 times, leaving a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Take the next digit (5) from the dividend and append it to 5, then repeat: 55 / 90

Let's proceed to step 2:
55 divided by 90 is 0 with a remainder of 55.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 55, we end up with 55.
Include the next digit (3) from the dividend after 55, then repeat: 553 / 90

Going ahead to step 3:
If we divide 553 by 90, we get 6 and a remainder of 13.
Write down 6 as next digit of the result. 
Result so far: 6.0
If we take 540 away from 553, we end up with 13.
Bring next digit (5) of the dividend behind the 13 and repeat the process: 135 / 90

Step 4:
90 can be fit into 135 1 times, resulting in a remainder of 45.
Write down 1 as next digit of the result. 
Result so far: 61.0
Subtracting 90 from 135 leaves us with 45.
Fetch the next digit (1) from the dividend, attach it to 45 and continue: 451 / 90

On to step 5:
451 divided by 90 is 5 with a remainder of 1.
Record the quotient 5 as the next digit in the result. 
Result so far: 615.0
Deduct 450 from 451 and we're left with 1.
Bring next digit (6) of the dividend behind the 1 and repeat the process: 16 / 90

Step 6:
The number 90 fits into 16 0 times, leaving a remainder of 16.
Record the quotient 0 as the next digit in the result. 
Result so far: 6150.0
Deduct 0 from 16 and we're left with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

On to step 7:
90 goes into 160 1 times with a remainder of 70.
Use 1 as the next digit of our solution. 
Result so far: 6150.1
Subtract 90 from 160 to get 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

Step 8:
90 goes into 700 7 times with a remainder of 70.
Write down 7 as next digit of the result. 
Result so far: 6150.17
Subtracting 630 from 700 leaves us with 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

Advancing to step 9:
If we divide 700 by 90, we get 7 and a remainder of 70.
Use 7 as the next digit of our solution. 
Result so far: 6150.177
If we subtract 630 from 700, we get 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

The quotient of the division is 6150.177, and the remainder is 0.007.