We divide 781775 by 11
We want to figure out the number of times 781775 can be divided by 11.

On to step 1:
11 goes into 7 0 times with a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 7, we get 7.
Bring next digit (8) of the dividend behind the 7 and repeat the process: 78 / 11

On to step 2:
78 divided by 11 is 7 with a remainder of 1.
The number 7 becomes the next digit in our result. 
Result so far: 7.0
If we take 77 away from 78, we end up with 1.
Grab the next digit (1) from the dividend, add it to 1, then carry on: 11 / 11

Step 3:
11 goes into 11 1 times with a remainder of 0.
The next digit of our result is 1. 
Result so far: 71.0
The remainder is 0 after subtracting 11 from 11.
Append the next digit (7) from the dividend to 0 and continue with: 7 / 11

Moving on to step 4:
The number 11 fits into 7 0 times, leaving a remainder of 7.
Write down 0 as next digit of the result. 
Result so far: 710.0
The remainder is 7 after subtracting 0 from 7.
Take the next digit (7) from the dividend and append it to 7, then repeat: 77 / 11

Let's proceed to step 5:
If we divide 77 by 11, we get 7 and a remainder of 0.
Record the quotient 7 as the next digit in the result. 
Result so far: 7107.0
Deduct 77 from 77 and we're left with 0.
Bring next digit (5) of the dividend behind the 0 and repeat the process: 5 / 11

On to step 6:
When dividing 5 by 11, we get 0 with a remainder of 5.
The next digit of our result is 0. 
Result so far: 71070.0
If we subtract 0 from 5, we get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Let's proceed to step 7:
When dividing 50 by 11, we get 4 with a remainder of 6.
Write down 4 as next digit of the result. 
Result so far: 71070.4
If we take 44 away from 50, we end up with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

On to step 8:
When dividing 60 by 11, we get 5 with a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 71070.45
Subtracting 55 from 60 leaves us with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Moving on to step 9:
The number 11 fits into 50 4 times, leaving a remainder of 6.
Put 4 as the next digit of the answer. 
Result so far: 71070.454
The remainder is 6 after subtracting 44 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Advancing to step 10:
When dividing 60 by 11, we get 5 with a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 71070.4545
Subtracting 55 from 60 leaves us with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Let's proceed to step 11:
If we divide 50 by 11, we get 4 and a remainder of 6.
Put 4 as the next digit of the answer. 
Result so far: 71070.45454
Subtracting 44 from 50 leaves us with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Let's proceed to step 12:
11 goes into 60 5 times with a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 71070.454545
If we subtract 55 from 60, we get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Step 13:
If we divide 50 by 11, we get 4 and a remainder of 6.
Put 4 as the next digit of the answer. 
Result so far: 71070.4545454
If we subtract 44 from 50, we get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Advancing to step 14:
When dividing 60 by 11, we get 5 with a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 71070.45454545
The remainder is 5 after subtracting 55 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

The quotient of the division is 71070.45454545, and the remainder is 5e-09.