626669 ÷ 91 
Our goal is to divide 626669 by 91.

Advancing to step 1:
6 divided by 91 is 0 with a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Fetch the next digit (2) from the dividend, attach it to 6 and continue: 62 / 91

Let's proceed to step 2:
When dividing 62 by 91, we get 0 with a remainder of 62.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 62 to get 62.
Bring next digit (6) of the dividend behind the 62 and repeat the process: 626 / 91

Moving on to step 3:
If we divide 626 by 91, we get 6 and a remainder of 80.
Put 6 as the next digit of the answer. 
Result so far: 6.0
Subtract 546 from 626 to get 80.
Fetch the next digit (6) from the dividend, attach it to 80 and continue: 806 / 91

Step 4:
When dividing 806 by 91, we get 8 with a remainder of 78.
Use 8 as the next digit of our solution. 
Result so far: 68.0
Deduct 728 from 806 and we're left with 78.
Take the next digit (6) from the dividend and append it to 78, then repeat: 786 / 91

Advancing to step 5:
91 goes into 786 8 times with a remainder of 58.
The number 8 becomes the next digit in our result. 
Result so far: 688.0
Deduct 728 from 786 and we're left with 58.
Include the next digit (9) from the dividend after 58, then repeat: 589 / 91

Advancing to step 6:
The number 91 fits into 589 6 times, leaving a remainder of 43.
Use 6 as the next digit of our solution. 
Result so far: 6886.0
If we subtract 546 from 589, we get 43.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

Advancing to step 7:
91 can be fit into 430 4 times, resulting in a remainder of 66.
Record the quotient 4 as the next digit in the result. 
Result so far: 6886.4
If we take 364 away from 430, we end up 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.

Going ahead to step 8:
91 goes into 660 7 times with a remainder of 23.
The number 7 becomes the next digit in our result. 
Result so far: 6886.47
If we take 637 away from 660, we end up 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.

Step 9:
If we divide 230 by 91, we get 2 and a remainder of 48.
The next digit of our result is 2. 
Result so far: 6886.472
If we take 182 away from 230, we end up 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.

Let's proceed to step 10:
91 can be fit into 480 5 times, resulting in a remainder of 25.
The number 5 becomes the next digit in our result. 
Result so far: 6886.4725
Subtract 455 from 480 to get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

On to step 11:
The number 91 fits into 250 2 times, leaving a remainder of 68.
The number 2 becomes the next digit in our result. 
Result so far: 6886.47252
Subtract 182 from 250 to get 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

Let's proceed to step 12:
If we divide 680 by 91, we get 7 and a remainder of 43.
Record the quotient 7 as the next digit in the result. 
Result so far: 6886.472527
Subtract 637 from 680 to get 43.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

Step 13:
91 can be fit into 430 4 times, resulting in a remainder of 66.
The number 4 becomes the next digit in our result. 
Result so far: 6886.4725274
Subtracting 364 from 430 leaves us 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.

Going ahead to step 14:
91 can be fit into 660 7 times, resulting in a remainder of 23.
The next digit of our result is 7. 
Result so far: 6886.47252747
The remainder is 23 after subtracting 637 from 660.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

The final result is 6886.47252747 with a remainder of 2.3e-08.