We look at the division of 505298 by 89 
Our goal is to divide 505298 by 89.

Let's proceed to step 1:
5 divided by 89 is 0 with a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Grab the next digit (0) from the dividend, add it to 5, then carry on: 50 / 89

Step 2:
89 can be fit into 50 0 times, resulting in a remainder of 50.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 50, we end up with 50.
Fetch the next digit (5) from the dividend, attach it to 50 and continue: 505 / 89

Advancing to step 3:
505 divided by 89 is 5 with a remainder of 60.
Put 5 as the next digit of the answer. 
Result so far: 5.0
The remainder is 60 after subtracting 445 from 505.
Append the next digit (2) from the dividend to 60 and continue with: 602 / 89

On to step 4:
89 can be fit into 602 6 times, resulting in a remainder of 68.
The number 6 becomes the next digit in our result. 
Result so far: 56.0
Subtracting 534 from 602 leaves us with 68.
Append the next digit (9) from the dividend to 68 and continue with: 689 / 89

Moving on to step 5:
The number 89 fits into 689 7 times, leaving a remainder of 66.
Use 7 as the next digit of our solution. 
Result so far: 567.0
The remainder is 66 after subtracting 623 from 689.
Take the next digit (8) from the dividend and append it to 66, then repeat: 668 / 89

Moving on to step 6:
89 goes into 668 7 times with a remainder of 45.
The next digit of our result is 7. 
Result so far: 5677.0
The remainder is 45 after subtracting 623 from 668.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Let's proceed to step 7:
89 goes into 450 5 times with a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 5677.5
Subtract 445 from 450 to get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

On to step 8:
When dividing 50 by 89, we get 0 with a remainder of 50.
Record the quotient 0 as the next digit in the result. 
Result so far: 5677.5
If we subtract 0 from 50, 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 9:
500 divided by 89 is 5 with a remainder of 55.
Put 5 as the next digit of the answer. 
Result so far: 5677.505
The remainder is 55 after subtracting 445 from 500.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

On to step 10:
If we divide 550 by 89, we get 6 and a remainder of 16.
Record the quotient 6 as the next digit in the result. 
Result so far: 5677.5056
If we subtract 534 from 550, we get 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 11:
89 can be fit into 160 1 times, resulting in a remainder of 71.
The next digit of our result is 1. 
Result so far: 5677.50561
Subtracting 89 from 160 leaves us 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.

Step 12:
If we divide 710 by 89, we get 7 and a remainder of 87.
Record the quotient 7 as the next digit in the result. 
Result so far: 5677.505617
Subtracting 623 from 710 leaves us with 87.
Since there are no more digits in the dividend, we add a zero to the remainder making it 870, and continue the process.

Let's proceed to step 13:
89 can be fit into 870 9 times, resulting in a remainder of 69.
The next digit of our result is 9. 
Result so far: 5677.5056179
Subtracting 801 from 870 leaves us 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.

Going ahead to step 14:
89 can be fit into 690 7 times, resulting in a remainder of 67.
The number 7 becomes the next digit in our result. 
Result so far: 5677.50561797
If we take 623 away from 690, we end up with 67.
Since there are no more digits in the dividend, we add a zero to the remainder making it 670, and continue the process.

The final result is 5677.50561797 with a remainder of 6.7e-08.