512268 ÷ 89 
We want to figure out the number of times 512268 can be divided by 89.

Moving on to step 1:
The number 89 fits into 5 0 times, leaving a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Fetch the next digit (1) from the dividend, attach it to 5 and continue: 51 / 89

Step 2:
89 can be fit into 51 0 times, resulting in a remainder of 51.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 51, we get 51.
Take the next digit (2) from the dividend and append it to 51, then repeat: 512 / 89

Let's proceed to step 3:
512 divided by 89 is 5 with a remainder of 67.
Write down 5 as next digit of the result. 
Result so far: 5.0
Subtract 445 from 512 to get 67.
Include the next digit (2) from the dividend after 67, then repeat: 672 / 89

On to step 4:
The number 89 fits into 672 7 times, leaving a remainder of 49.
Put 7 as the next digit of the answer. 
Result so far: 57.0
Subtract 623 from 672 to get 49.
Fetch the next digit (6) from the dividend, attach it to 49 and continue: 496 / 89

Going ahead to step 5:
89 goes into 496 5 times with a remainder of 51.
The number 5 becomes the next digit in our result. 
Result so far: 575.0
The remainder is 51 after subtracting 445 from 496.
Take the next digit (8) from the dividend and append it to 51, then repeat: 518 / 89

Going ahead to step 6:
518 divided by 89 is 5 with a remainder of 73.
Record the quotient 5 as the next digit in the result. 
Result so far: 5755.0
The remainder is 73 after subtracting 445 from 518.
Since there are no more digits in the dividend, we add a zero to the remainder making it 730, and continue the process.

On to step 7:
If we divide 730 by 89, we get 8 and a remainder of 18.
Put 8 as the next digit of the answer. 
Result so far: 5755.8
If we take 712 away from 730, we end up with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Moving on to step 8:
If we divide 180 by 89, we get 2 and a remainder of 2.
Put 2 as the next digit of the answer. 
Result so far: 5755.82
Subtracting 178 from 180 leaves us with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Let's proceed to step 9:
89 can be fit into 20 0 times, resulting in a remainder of 20.
Use 0 as the next digit of our solution. 
Result so far: 5755.82
Subtracting 0 from 20 leaves us with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

On to step 10:
89 goes into 200 2 times with a remainder of 22.
The number 2 becomes the next digit in our result. 
Result so far: 5755.8202
Deduct 178 from 200 and we're left with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Step 11:
89 goes into 220 2 times with a remainder of 42.
Put 2 as the next digit of the answer. 
Result so far: 5755.82022
If we subtract 178 from 220, we get 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

After the division, we end up with 5755.82022 and a remainder of 4.2e-05.