We look at the division of 6711941 by 869 
We're looking to find how many times 869 goes into 6711941.

On to step 1:
If we divide 6 by 869, we get 0 and a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Grab the next digit (7) from the dividend, add it to 6, then carry on: 67 / 869

On to step 2:
The number 869 fits into 67 0 times, leaving a remainder of 67.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 67 to get 67.
Include the next digit (1) from the dividend after 67, then repeat: 671 / 869

Moving on to step 3:
869 can be fit into 671 0 times, resulting in a remainder of 671.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 671 to get 671.
Include the next digit (1) from the dividend after 671, then repeat: 6711 / 869

Advancing to step 4:
If we divide 6711 by 869, we get 7 and a remainder of 628.
The number 7 becomes the next digit in our result. 
Result so far: 7.0
Deduct 6083 from 6711 and we're left with 628.
Fetch the next digit (9) from the dividend, attach it to 628 and continue: 6289 / 869

Step 5:
The number 869 fits into 6289 7 times, leaving a remainder of 206.
Write down 7 as next digit of the result. 
Result so far: 77.0
Subtracting 6083 from 6289 leaves us with 206.
Append the next digit (4) from the dividend to 206 and continue with: 2064 / 869

On to step 6:
If we divide 2064 by 869, we get 2 and a remainder of 326.
The number 2 becomes the next digit in our result. 
Result so far: 772.0
Subtracting 1738 from 2064 leaves us with 326.
Include the next digit (1) from the dividend after 326, then repeat: 3261 / 869

Going ahead to step 7:
869 goes into 3261 3 times with a remainder of 654.
Write down 3 as next digit of the result. 
Result so far: 7723.0
If we take 2607 away from 3261, we end up with 654.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6540, and continue the process.

Step 8:
When dividing 6540 by 869, we get 7 with a remainder of 457.
The number 7 becomes the next digit in our result. 
Result so far: 7723.7
If we subtract 6083 from 6540, we get 457.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4570, and continue the process.

Let's proceed to step 9:
When dividing 4570 by 869, we get 5 with a remainder of 225.
Put 5 as the next digit of the answer. 
Result so far: 7723.75
Subtracting 4345 from 4570 leaves us with 225.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2250, and continue the process.

On to step 10:
The number 869 fits into 2250 2 times, leaving a remainder of 512.
Put 2 as the next digit of the answer. 
Result so far: 7723.752
Deduct 1738 from 2250 and we're left with 512.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5120, and continue the process.

Let's proceed to step 11:
5120 divided by 869 is 5 with a remainder of 775.
Record the quotient 5 as the next digit in the result. 
Result so far: 7723.7525
If we subtract 4345 from 5120, we get 775.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7750, and continue the process.

Going ahead to step 12:
869 goes into 7750 8 times with a remainder of 798.
The next digit of our result is 8. 
Result so far: 7723.75258
The remainder is 798 after subtracting 6952 from 7750.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7980, and continue the process.

Let's proceed to step 13:
869 goes into 7980 9 times with a remainder of 159.
Use 9 as the next digit of our solution. 
Result so far: 7723.752589
Subtracting 7821 from 7980 leaves us with 159.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1590, and continue the process.

Advancing to step 14:
If we divide 1590 by 869, we get 1 and a remainder of 721.
Put 1 as the next digit of the answer. 
Result so far: 7723.7525891
The remainder is 721 after subtracting 869 from 1590.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7210, and continue the process.

Moving on to step 15:
The number 869 fits into 7210 8 times, leaving a remainder of 258.
Put 8 as the next digit of the answer. 
Result so far: 7723.75258918
Subtracting 6952 from 7210 leaves us with 258.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2580, and continue the process.

The quotient of the division is 7723.75258918, and the remainder is 2.58e-07.