Let's divide 626814 by 89
Our goal is to divide 626814 by 89.

Step 1:
The number 89 fits into 6 0 times, leaving a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Bring next digit (2) of the dividend behind the 6 and repeat the process: 62 / 89

Going ahead to step 2:
89 can be fit into 62 0 times, resulting in a remainder of 62.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 62, we get 62.
Include the next digit (6) from the dividend after 62, then repeat: 626 / 89

Going ahead to step 3:
626 divided by 89 is 7 with a remainder of 3.
The next digit of our result is 7. 
Result so far: 7.0
The remainder is 3 after subtracting 623 from 626.
Bring next digit (8) of the dividend behind the 3 and repeat the process: 38 / 89

On to step 4:
When dividing 38 by 89, we get 0 with a remainder of 38.
Write down 0 as next digit of the result. 
Result so far: 70.0
If we take 0 away from 38, we end up with 38.
Take the next digit (1) from the dividend and append it to 38, then repeat: 381 / 89

Let's proceed to step 5:
381 divided by 89 is 4 with a remainder of 25.
Write down 4 as next digit of the result. 
Result so far: 704.0
If we take 356 away from 381, we end up with 25.
Take the next digit (4) from the dividend and append it to 25, then repeat: 254 / 89

Advancing to step 6:
89 can be fit into 254 2 times, resulting in a remainder of 76.
The number 2 becomes the next digit in our result. 
Result so far: 7042.0
If we subtract 178 from 254, we get 76.
Since there are no more digits in the dividend, we add a zero to the remainder making it 760, and continue the process.

Step 7:
If we divide 760 by 89, we get 8 and a remainder of 48.
The number 8 becomes the next digit in our result. 
Result so far: 7042.8
Deduct 712 from 760 and we're left with 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Step 8:
If we divide 480 by 89, we get 5 and a remainder of 35.
Put 5 as the next digit of the answer. 
Result so far: 7042.85
If we subtract 445 from 480, we get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Advancing to step 9:
The number 89 fits into 350 3 times, leaving a remainder of 83.
Write down 3 as next digit of the result. 
Result so far: 7042.853
If we subtract 267 from 350, we get 83.
Since there are no more digits in the dividend, we add a zero to the remainder making it 830, and continue the process.

On to step 10:
When dividing 830 by 89, we get 9 with a remainder of 29.
The number 9 becomes the next digit in our result. 
Result so far: 7042.8539
If we take 801 away from 830, we end up with 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Moving on to step 11:
When dividing 290 by 89, we get 3 with a remainder of 23.
Write down 3 as next digit of the result. 
Result so far: 7042.85393
Deduct 267 from 290 and we're left with 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Moving on to step 12:
89 goes into 230 2 times with a remainder of 52.
Use 2 as the next digit of our solution. 
Result so far: 7042.853932
If we take 178 away from 230, we end up with 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Advancing to step 13:
When dividing 520 by 89, we get 5 with a remainder of 75.
Put 5 as the next digit of the answer. 
Result so far: 7042.8539325
The remainder is 75 after subtracting 445 from 520.
Since there are no more digits in the dividend, we add a zero to the remainder making it 750, and continue the process.

Going ahead to step 14:
When dividing 750 by 89, we get 8 with a remainder of 38.
The next digit of our result is 8. 
Result so far: 7042.85393258
The remainder is 38 after subtracting 712 from 750.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

The final result is 7042.85393258 with a remainder of 3.8e-08.