We look at the division of 676874 by 91 
We're looking to find how many times 91 goes into 676874.

On to step 1:
91 can be fit into 6 0 times, resulting in a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Fetch the next digit (7) from the dividend, attach it to 6 and continue: 67 / 91

Let's proceed to step 2:
If we divide 67 by 91, we get 0 and a remainder of 67.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 67 leaves us with 67.
Take the next digit (6) from the dividend and append it to 67, then repeat: 676 / 91

Step 3:
The number 91 fits into 676 7 times, leaving a remainder of 39.
Put 7 as the next digit of the answer. 
Result so far: 7.0
Deduct 637 from 676 and we're left with 39.
Grab the next digit (8) from the dividend, add it to 39, then carry on: 398 / 91

On to step 4:
If we divide 398 by 91, we get 4 and a remainder of 34.
Record the quotient 4 as the next digit in the result. 
Result so far: 74.0
Deduct 364 from 398 and we're left with 34.
Grab the next digit (7) from the dividend, add it to 34, then carry on: 347 / 91

On to step 5:
91 goes into 347 3 times with a remainder of 74.
Record the quotient 3 as the next digit in the result. 
Result so far: 743.0
If we subtract 273 from 347, we get 74.
Bring next digit (4) of the dividend behind the 74 and repeat the process: 744 / 91

On to step 6:
When dividing 744 by 91, we get 8 with a remainder of 16.
Write down 8 as next digit of the result. 
Result so far: 7438.0
If we take 728 away from 744, we end up with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Going ahead to step 7:
The number 91 fits into 160 1 times, leaving a remainder of 69.
Use 1 as the next digit of our solution. 
Result so far: 7438.1
Subtract 91 from 160 to get 69.
Since there are no more digits in the dividend, we add a zero to the remainder making it 690, and continue the process.

Let's proceed to step 8:
91 goes into 690 7 times with a remainder of 53.
Put 7 as the next digit of the answer. 
Result so far: 7438.17
If we take 637 away from 690, we end up with 53.
Since there are no more digits in the dividend, we add a zero to the remainder making it 530, and continue the process.

Advancing to step 9:
When dividing 530 by 91, we get 5 with a remainder of 75.
Write down 5 as next digit of the result. 
Result so far: 7438.175
If we subtract 455 from 530, we get 75.
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 10:
750 divided by 91 is 8 with a remainder of 22.
Use 8 as the next digit of our solution. 
Result so far: 7438.1758
Subtracting 728 from 750 leaves us 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.

Going ahead to step 11:
The number 91 fits into 220 2 times, leaving a remainder of 38.
Put 2 as the next digit of the answer. 
Result so far: 7438.17582
If we take 182 away from 220, we end up with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Let's proceed to step 12:
380 divided by 91 is 4 with a remainder of 16.
The number 4 becomes the next digit in our result. 
Result so far: 7438.175824
Subtracting 364 from 380 leaves us with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Going ahead to step 13:
When dividing 160 by 91, we get 1 with a remainder of 69.
Put 1 as the next digit of the answer. 
Result so far: 7438.1758241
If we take 91 away from 160, we end up with 69.
Since there are no more digits in the dividend, we add a zero to the remainder making it 690, and continue the process.

Let's proceed to step 14:
690 divided by 91 is 7 with a remainder of 53.
Put 7 as the next digit of the answer. 
Result so far: 7438.17582417
If we take 637 away from 690, we end up with 53.
Since there are no more digits in the dividend, we add a zero to the remainder making it 530, and continue the process.

Our division results in 7438.17582417 with a remaining 5.3e-08.