We look at the division of 266629 by 89 
We want to figure out the number of times 266629 can be divided by 89.

Advancing to step 1:
The number 89 fits into 2 0 times, leaving a remainder of 2.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 2, we get 2.
Take the next digit (6) from the dividend and append it to 2, then repeat: 26 / 89

Advancing to step 2:
89 can be fit into 26 0 times, resulting in a remainder of 26.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 26, we end up with 26.
Include the next digit (6) from the dividend after 26, then repeat: 266 / 89

Advancing to step 3:
When dividing 266 by 89, we get 2 with a remainder of 88.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
The remainder is 88 after subtracting 178 from 266.
Append the next digit (6) from the dividend to 88 and continue with: 886 / 89

Advancing to step 4:
89 goes into 886 9 times with a remainder of 85.
Use 9 as the next digit of our solution. 
Result so far: 29.0
Subtracting 801 from 886 leaves us with 85.
Include the next digit (2) from the dividend after 85, then repeat: 852 / 89

Step 5:
89 goes into 852 9 times with a remainder of 51.
Put 9 as the next digit of the answer. 
Result so far: 299.0
The remainder is 51 after subtracting 801 from 852.
Grab the next digit (9) from the dividend, add it to 51, then carry on: 519 / 89

Let's proceed to step 6:
If we divide 519 by 89, we get 5 and a remainder of 74.
Put 5 as the next digit of the answer. 
Result so far: 2995.0
If we take 445 away from 519, we end up with 74.
Since there are no more digits in the dividend, we add a zero to the remainder making it 740, and continue the process.

Going ahead to step 7:
If we divide 740 by 89, we get 8 and a remainder of 28.
Record the quotient 8 as the next digit in the result. 
Result so far: 2995.8
If we subtract 712 from 740, we get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Let's proceed to step 8:
If we divide 280 by 89, we get 3 and a remainder of 13.
Put 3 as the next digit of the answer. 
Result so far: 2995.83
Deduct 267 from 280 and we're left with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Moving on to step 9:
89 can be fit into 130 1 times, resulting in a remainder of 41.
Put 1 as the next digit of the answer. 
Result so far: 2995.831
If we take 89 away from 130, we end up with 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

Let's proceed to step 10:
410 divided by 89 is 4 with a remainder of 54.
Put 4 as the next digit of the answer. 
Result so far: 2995.8314
Deduct 356 from 410 and we're left with 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

On to step 11:
When dividing 540 by 89, we get 6 with a remainder of 6.
Record the quotient 6 as the next digit in the result. 
Result so far: 2995.83146
Deduct 534 from 540 and we're left with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

On to step 12:
If we divide 60 by 89, we get 0 and a remainder of 60.
Use 0 as the next digit of our solution. 
Result so far: 2995.83146
The remainder is 60 after subtracting 0 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Moving on to step 13:
When dividing 600 by 89, we get 6 with a remainder of 66.
Write down 6 as next digit of the result. 
Result so far: 2995.8314606
Deduct 534 from 600 and we're left with 66.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

Step 14:
660 divided by 89 is 7 with a remainder of 37.
Use 7 as the next digit of our solution. 
Result so far: 2995.83146067
The remainder is 37 after subtracting 623 from 660.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

After the division, we end up with 2995.83146067 and a remainder of 3.7e-08.