77734 divided by 41 
The aim is to understand the frequency of 41 in 77734.

Advancing to step 1:
When dividing 7 by 41, we get 0 with a remainder of 7.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 7 and we're left with 7.
Take the next digit (7) from the dividend and append it to 7, then repeat: 77 / 41

Step 2:
When dividing 77 by 41, we get 1 with a remainder of 36.
The next digit of our result is 1. 
Result so far: 1.0
Subtract 41 from 77 to get 36.
Include the next digit (7) from the dividend after 36, then repeat: 367 / 41

On to step 3:
The number 41 fits into 367 8 times, leaving a remainder of 39.
The number 8 becomes the next digit in our result. 
Result so far: 18.0
The remainder is 39 after subtracting 328 from 367.
Append the next digit (3) from the dividend to 39 and continue with: 393 / 41

On to step 4:
393 divided by 41 is 9 with a remainder of 24.
Write down 9 as next digit of the result. 
Result so far: 189.0
If we subtract 369 from 393, we get 24.
Fetch the next digit (4) from the dividend, attach it to 24 and continue: 244 / 41

Advancing to step 5:
244 divided by 41 is 5 with a remainder of 39.
Write down 5 as next digit of the result. 
Result so far: 1895.0
Subtracting 205 from 244 leaves us with 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Step 6:
When dividing 390 by 41, we get 9 with a remainder of 21.
Use 9 as the next digit of our solution. 
Result so far: 1895.9
If we take 369 away from 390, we end up with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Moving on to step 7:
If we divide 210 by 41, we get 5 and a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 1895.95
If we take 205 away from 210, we end up 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 8:
41 can be fit into 50 1 times, resulting in a remainder of 9.
Use 1 as the next digit of our solution. 
Result so far: 1895.951
If we take 41 away from 50, we end up with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Advancing to step 9:
41 can be fit into 90 2 times, resulting in a remainder of 8.
The number 2 becomes the next digit in our result. 
Result so far: 1895.9512
Subtracting 82 from 90 leaves us with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Let's proceed to step 10:
When dividing 80 by 41, we get 1 with a remainder of 39.
Put 1 as the next digit of the answer. 
Result so far: 1895.95121
Subtract 41 from 80 to get 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Advancing to step 11:
If we divide 390 by 41, we get 9 and a remainder of 21.
The next digit of our result is 9. 
Result so far: 1895.951219
The remainder is 21 after subtracting 369 from 390.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Advancing to step 12:
210 divided by 41 is 5 with a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 1895.9512195
Subtracting 205 from 210 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 13:
50 divided by 41 is 1 with a remainder of 9.
The number 1 becomes the next digit in our result. 
Result so far: 1895.95121951
The remainder is 9 after subtracting 41 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

The quotient of the division is 1895.95121951, and the remainder is 9e-09.