We're dividing 6691041 by 954 
We want to divide 6691041 by 954.

On to step 1:
954 can be fit into 6 0 times, resulting in a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 6, we get 6.
Take the next digit (6) from the dividend and append it to 6, then repeat: 66 / 954

Moving on to step 2:
954 can be fit into 66 0 times, resulting in a remainder of 66.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 66 leaves us with 66.
Grab the next digit (9) from the dividend, add it to 66, then carry on: 669 / 954

Let's proceed to step 3:
When dividing 669 by 954, we get 0 with a remainder of 669.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 669 after subtracting 0 from 669.
Fetch the next digit (1) from the dividend, attach it to 669 and continue: 6691 / 954

Going ahead to step 4:
954 goes into 6691 7 times with a remainder of 13.
Write down 7 as next digit of the result. 
Result so far: 7.0
If we take 6678 away from 6691, we end up with 13.
Grab the next digit (0) from the dividend, add it to 13, then carry on: 130 / 954

Advancing to step 5:
954 can be fit into 130 0 times, resulting in a remainder of 130.
Record the quotient 0 as the next digit in the result. 
Result so far: 70.0
Subtract 0 from 130 to get 130.
Fetch the next digit (4) from the dividend, attach it to 130 and continue: 1304 / 954

Step 6:
954 goes into 1304 1 times with a remainder of 350.
Put 1 as the next digit of the answer. 
Result so far: 701.0
If we take 954 away from 1304, we end up with 350.
Fetch the next digit (1) from the dividend, attach it to 350 and continue: 3501 / 954

Let's proceed to step 7:
If we divide 3501 by 954, we get 3 and a remainder of 639.
Record the quotient 3 as the next digit in the result. 
Result so far: 7013.0
Deduct 2862 from 3501 and we're left with 639.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6390, and continue the process.

Moving on to step 8:
The number 954 fits into 6390 6 times, leaving a remainder of 666.
Record the quotient 6 as the next digit in the result. 
Result so far: 7013.6
If we subtract 5724 from 6390, we get 666.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6660, and continue the process.

Going ahead to step 9:
When dividing 6660 by 954, we get 6 with a remainder of 936.
Put 6 as the next digit of the answer. 
Result so far: 7013.66
If we take 5724 away from 6660, we end up with 936.
Since there are no more digits in the dividend, we add a zero to the remainder making it 9360, and continue the process.

The quotient of the division is 7013.66, and the remainder is 0.936.