We look at the division of 597754 by 90 
Let's see how many times 90 fits into 597754.

Step 1:
The number 90 fits into 5 0 times, leaving a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Take the next digit (9) from the dividend and append it to 5, then repeat: 59 / 90

On to step 2:
If we divide 59 by 90, we get 0 and a remainder of 59.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 59 and we're left with 59.
Bring next digit (7) of the dividend behind the 59 and repeat the process: 597 / 90

Step 3:
When dividing 597 by 90, we get 6 with a remainder of 57.
Write down 6 as next digit of the result. 
Result so far: 6.0
Subtracting 540 from 597 leaves us with 57.
Append the next digit (7) from the dividend to 57 and continue with: 577 / 90

Step 4:
90 goes into 577 6 times with a remainder of 37.
Write down 6 as next digit of the result. 
Result so far: 66.0
The remainder is 37 after subtracting 540 from 577.
Take the next digit (5) from the dividend and append it to 37, then repeat: 375 / 90

Going ahead to step 5:
90 can be fit into 375 4 times, resulting in a remainder of 15.
The number 4 becomes the next digit in our result. 
Result so far: 664.0
Subtract 360 from 375 to get 15.
Bring next digit (4) of the dividend behind the 15 and repeat the process: 154 / 90

Going ahead to step 6:
The number 90 fits into 154 1 times, leaving a remainder of 64.
The next digit of our result is 1. 
Result so far: 6641.0
If we take 90 away from 154, we end up with 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Step 7:
90 can be fit into 640 7 times, resulting in a remainder of 10.
The next digit of our result is 7. 
Result so far: 6641.7
If we take 630 away from 640, we end up 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.

Let's proceed 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: 6641.71
If we take 90 away from 100, we end up 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.

On to step 9:
90 can be fit into 100 1 times, resulting in a remainder of 10.
Put 1 as the next digit of the answer. 
Result so far: 6641.711
Subtract 90 from 100 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

The quotient of the division is 6641.711, and the remainder is 0.001.