77844 ÷ 43 
Let's see how many times 43 fits into 77844.

Advancing to step 1:
The number 43 fits into 7 0 times, leaving a remainder of 7.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 7 to get 7.
Take the next digit (7) from the dividend and append it to 7, then repeat: 77 / 43

Let's proceed to step 2:
43 goes into 77 1 times with a remainder of 34.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we subtract 43 from 77, we get 34.
Fetch the next digit (8) from the dividend, attach it to 34 and continue: 348 / 43

Step 3:
When dividing 348 by 43, we get 8 with a remainder of 4.
Use 8 as the next digit of our solution. 
Result so far: 18.0
Subtracting 344 from 348 leaves us with 4.
Grab the next digit (4) from the dividend, add it to 4, then carry on: 44 / 43

Moving on to step 4:
When dividing 44 by 43, we get 1 with a remainder of 1.
Put 1 as the next digit of the answer. 
Result so far: 181.0
Subtracting 43 from 44 leaves us with 1.
Include the next digit (4) from the dividend after 1, then repeat: 14 / 43

On to step 5:
If we divide 14 by 43, we get 0 and a remainder of 14.
The number 0 becomes the next digit in our result. 
Result so far: 1810.0
Subtracting 0 from 14 leaves us with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Moving on to step 6:
The number 43 fits into 140 3 times, leaving a remainder of 11.
The next digit of our result is 3. 
Result so far: 1810.3
If we take 129 away from 140, we end up with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Let's proceed to step 7:
When dividing 110 by 43, we get 2 with a remainder of 24.
Record the quotient 2 as the next digit in the result. 
Result so far: 1810.32
Subtract 86 from 110 to get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Let's proceed to step 8:
240 divided by 43 is 5 with a remainder of 25.
Use 5 as the next digit of our solution. 
Result so far: 1810.325
If we subtract 215 from 240, we get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Step 9:
250 divided by 43 is 5 with a remainder of 35.
The number 5 becomes the next digit in our result. 
Result so far: 1810.3255
Deduct 215 from 250 and we're left with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

The final result is 1810.3255 with a remainder of 0.00035.