We look at the division of 597418 by 89 
We want to divide 597418 by 89.

Advancing to step 1:
If we divide 5 by 89, we get 0 and 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.
Fetch the next digit (9) from the dividend, attach it to 5 and continue: 59 / 89

Moving on to step 2:
If we divide 59 by 89, we get 0 and a remainder of 59.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 59 to get 59.
Fetch the next digit (7) from the dividend, attach it to 59 and continue: 597 / 89

Moving on to step 3:
597 divided by 89 is 6 with a remainder of 63.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
Subtract 534 from 597 to get 63.
Fetch the next digit (4) from the dividend, attach it to 63 and continue: 634 / 89

Going ahead to step 4:
If we divide 634 by 89, we get 7 and a remainder of 11.
The next digit of our result is 7. 
Result so far: 67.0
Deduct 623 from 634 and we're left with 11.
Include the next digit (1) from the dividend after 11, then repeat: 111 / 89

On to step 5:
The number 89 fits into 111 1 times, leaving a remainder of 22.
The next digit of our result is 1. 
Result so far: 671.0
If we subtract 89 from 111, we get 22.
Include the next digit (8) from the dividend after 22, then repeat: 228 / 89

Advancing to step 6:
228 divided by 89 is 2 with a remainder of 50.
The next digit of our result is 2. 
Result so far: 6712.0
If we subtract 178 from 228, we get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Advancing to step 7:
500 divided by 89 is 5 with a remainder of 55.
Record the quotient 5 as the next digit in the result. 
Result so far: 6712.5
Subtract 445 from 500 to get 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Advancing to step 8:
If we divide 550 by 89, we get 6 and a remainder of 16.
Put 6 as the next digit of the answer. 
Result so far: 6712.56
Subtracting 534 from 550 leaves us 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.

Let's proceed to step 9:
89 goes into 160 1 times with a remainder of 71.
Use 1 as the next digit of our solution. 
Result so far: 6712.561
Deduct 89 from 160 and we're left with 71.
Since there are no more digits in the dividend, we add a zero to the remainder making it 710, and continue the process.

Going ahead to step 10:
89 can be fit into 710 7 times, resulting in a remainder of 87.
The number 7 becomes the next digit in our result. 
Result so far: 6712.5617
The remainder is 87 after subtracting 623 from 710.
Since there are no more digits in the dividend, we add a zero to the remainder making it 870, and continue the process.

On to step 11:
If we divide 870 by 89, we get 9 and a remainder of 69.
Use 9 as the next digit of our solution. 
Result so far: 6712.56179
If we take 801 away from 870, we end up with 69.
Since there are no more digits in the dividend, we add a zero to the remainder making it 690, and continue the process.

Let's proceed to step 12:
When dividing 690 by 89, we get 7 with a remainder of 67.
Write down 7 as next digit of the result. 
Result so far: 6712.561797
The remainder is 67 after subtracting 623 from 690.
Since there are no more digits in the dividend, we add a zero to the remainder making it 670, and continue the process.

On to step 13:
89 goes into 670 7 times with a remainder of 47.
Write down 7 as next digit of the result. 
Result so far: 6712.5617977
If we subtract 623 from 670, we get 47.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

The quotient of the division is 6712.5617977, and the remainder is 4.7e-07.