We look at the division of 598100 by 69 
Our goal is to divide 598100 by 69.

Let's proceed to step 1:
69 can be fit into 5 0 times, resulting in 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.
Append the next digit (9) from the dividend to 5 and continue with: 59 / 69

On to step 2:
When dividing 59 by 69, we get 0 with a remainder of 59.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 59 to get 59.
Grab the next digit (8) from the dividend, add it to 59, then carry on: 598 / 69

Advancing to step 3:
When dividing 598 by 69, we get 8 with a remainder of 46.
The number 8 becomes the next digit in our result. 
Result so far: 8.0
If we take 552 away from 598, we end up with 46.
Append the next digit (1) from the dividend to 46 and continue with: 461 / 69

Advancing to step 4:
461 divided by 69 is 6 with a remainder of 47.
The next digit of our result is 6. 
Result so far: 86.0
If we take 414 away from 461, we end up with 47.
Grab the next digit (0) from the dividend, add it to 47, then carry on: 470 / 69

Step 5:
When dividing 470 by 69, we get 6 with a remainder of 56.
Record the quotient 6 as the next digit in the result. 
Result so far: 866.0
Deduct 414 from 470 and we're left with 56.
Take the next digit (0) from the dividend and append it to 56, then repeat: 560 / 69

Let's proceed to step 6:
If we divide 560 by 69, we get 8 and a remainder of 8.
The next digit of our result is 8. 
Result so far: 8668.0
If we subtract 552 from 560, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Advancing to step 7:
80 divided by 69 is 1 with a remainder of 11.
Record the quotient 1 as the next digit in the result. 
Result so far: 8668.1
If we subtract 69 from 80, we get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

On to step 8:
If we divide 110 by 69, we get 1 and a remainder of 41.
The next digit of our result is 1. 
Result so far: 8668.11
If we subtract 69 from 110, we get 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

The quotient of the division is 8668.11, and the remainder is 0.041.