We look at the division of 779386 by 69 
We want to divide 779386 by 69.

Going ahead to step 1:
69 goes into 7 0 times with a remainder of 7.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 7 to get 7.
Fetch the next digit (7) from the dividend, attach it to 7 and continue: 77 / 69

On to step 2:
When dividing 77 by 69, we get 1 with a remainder of 8.
Put 1 as the next digit of the answer. 
Result so far: 1.0
If we take 69 away from 77, we end up with 8.
Append the next digit (9) from the dividend to 8 and continue with: 89 / 69

On to step 3:
89 divided by 69 is 1 with a remainder of 20.
Write down 1 as next digit of the result. 
Result so far: 11.0
The remainder is 20 after subtracting 69 from 89.
Grab the next digit (3) from the dividend, add it to 20, then carry on: 203 / 69

Going ahead to step 4:
If we divide 203 by 69, we get 2 and a remainder of 65.
Record the quotient 2 as the next digit in the result. 
Result so far: 112.0
Subtract 138 from 203 to get 65.
Append the next digit (8) from the dividend to 65 and continue with: 658 / 69

Going ahead to step 5:
69 goes into 658 9 times with a remainder of 37.
Write down 9 as next digit of the result. 
Result so far: 1129.0
Deduct 621 from 658 and we're left with 37.
Append the next digit (6) from the dividend to 37 and continue with: 376 / 69

Moving on to step 6:
69 goes into 376 5 times with a remainder of 31.
Record the quotient 5 as the next digit in the result. 
Result so far: 11295.0
If we take 345 away from 376, we end up with 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Going ahead to step 7:
310 divided by 69 is 4 with a remainder of 34.
Record the quotient 4 as the next digit in the result. 
Result so far: 11295.4
The remainder is 34 after subtracting 276 from 310.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Step 8:
The number 69 fits into 340 4 times, leaving a remainder of 64.
Put 4 as the next digit of the answer. 
Result so far: 11295.44
If we subtract 276 from 340, we get 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

The quotient of the division is 11295.44, and the remainder is 0.064.