Let's divide 753669 by 89
We're looking to find how many times 89 goes into 753669.

Step 1:
89 goes into 7 0 times with a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 7 after subtracting 0 from 7.
Fetch the next digit (5) from the dividend, attach it to 7 and continue: 75 / 89

Advancing to step 2:
89 goes into 75 0 times with a remainder of 75.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 75, we get 75.
Grab the next digit (3) from the dividend, add it to 75, then carry on: 753 / 89

Advancing to step 3:
The number 89 fits into 753 8 times, leaving a remainder of 41.
Use 8 as the next digit of our solution. 
Result so far: 8.0
Subtracting 712 from 753 leaves us with 41.
Include the next digit (6) from the dividend after 41, then repeat: 416 / 89

Let's proceed to step 4:
416 divided by 89 is 4 with a remainder of 60.
Write down 4 as next digit of the result. 
Result so far: 84.0
If we subtract 356 from 416, we get 60.
Append the next digit (6) from the dividend to 60 and continue with: 606 / 89

Advancing to step 5:
89 goes into 606 6 times with a remainder of 72.
The next digit of our result is 6. 
Result so far: 846.0
If we subtract 534 from 606, we get 72.
Append the next digit (9) from the dividend to 72 and continue with: 729 / 89

Advancing to step 6:
When dividing 729 by 89, we get 8 with a remainder of 17.
Write down 8 as next digit of the result. 
Result so far: 8468.0
If we take 712 away from 729, we end up with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Advancing to step 7:
89 can be fit into 170 1 times, resulting in a remainder of 81.
Write down 1 as next digit of the result. 
Result so far: 8468.1
Deduct 89 from 170 and we're left with 81.
Since there are no more digits in the dividend, we add a zero to the remainder making it 810, and continue the process.

Going ahead to step 8:
89 can be fit into 810 9 times, resulting in a remainder of 9.
The number 9 becomes the next digit in our result. 
Result so far: 8468.19
Subtract 801 from 810 to get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Let's proceed to step 9:
89 goes into 90 1 times with a remainder of 1.
Use 1 as the next digit of our solution. 
Result so far: 8468.191
Deduct 89 from 90 and we're left with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Let's proceed to step 10:
If we divide 10 by 89, we get 0 and a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 8468.191
Subtract 0 from 10 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 11:
100 divided by 89 is 1 with a remainder of 11.
Put 1 as the next digit of the answer. 
Result so far: 8468.19101
Subtract 89 from 100 to 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 12:
When dividing 110 by 89, we get 1 with a remainder of 21.
Write down 1 as next digit of the result. 
Result so far: 8468.191011
If we take 89 away from 110, we end up with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Our division results in 8468.191011 with a remaining 2.1e-06.