783778 ÷ 743 
The aim is to understand the frequency of 743 in 783778.

Advancing to step 1:
743 goes into 7 0 times with a remainder of 7.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 7 to get 7.
Take the next digit (8) from the dividend and append it to 7, then repeat: 78 / 743

Moving on to step 2:
The number 743 fits into 78 0 times, leaving a remainder of 78.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 78, we end up with 78.
Fetch the next digit (3) from the dividend, attach it to 78 and continue: 783 / 743

Advancing to step 3:
The number 743 fits into 783 1 times, leaving a remainder of 40.
Write down 1 as next digit of the result. 
Result so far: 1.0
Deduct 743 from 783 and we're left with 40.
Fetch the next digit (7) from the dividend, attach it to 40 and continue: 407 / 743

On to step 4:
When dividing 407 by 743, we get 0 with a remainder of 407.
Record the quotient 0 as the next digit in the result. 
Result so far: 10.0
Deduct 0 from 407 and we're left with 407.
Append the next digit (7) from the dividend to 407 and continue with: 4077 / 743

On to step 5:
The number 743 fits into 4077 5 times, leaving a remainder of 362.
Write down 5 as next digit of the result. 
Result so far: 105.0
Deduct 3715 from 4077 and we're left with 362.
Grab the next digit (8) from the dividend, add it to 362, then carry on: 3628 / 743

Step 6:
743 goes into 3628 4 times with a remainder of 656.
Record the quotient 4 as the next digit in the result. 
Result so far: 1054.0
The remainder is 656 after subtracting 2972 from 3628.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6560, and continue the process.

Let's proceed to step 7:
6560 divided by 743 is 8 with a remainder of 616.
The number 8 becomes the next digit in our result. 
Result so far: 1054.8
If we subtract 5944 from 6560, we get 616.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6160, and continue the process.

Let's proceed to step 8:
743 can be fit into 6160 8 times, resulting in a remainder of 216.
Put 8 as the next digit of the answer. 
Result so far: 1054.88
Subtract 5944 from 6160 to get 216.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2160, and continue the process.

The final outcome is 1054.88, with a leftover of 0.216.