43844 ÷ 59 
Our goal is to divide 43844 by 59.

Advancing to step 1:
4 divided by 59 is 0 with a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Bring next digit (3) of the dividend behind the 4 and repeat the process: 43 / 59

Going ahead to step 2:
The number 59 fits into 43 0 times, leaving a remainder of 43.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 43 to get 43.
Fetch the next digit (8) from the dividend, attach it to 43 and continue: 438 / 59

Step 3:
When dividing 438 by 59, we get 7 with a remainder of 25.
Record the quotient 7 as the next digit in the result. 
Result so far: 7.0
The remainder is 25 after subtracting 413 from 438.
Grab the next digit (4) from the dividend, add it to 25, then carry on: 254 / 59

Moving on to step 4:
When dividing 254 by 59, we get 4 with a remainder of 18.
Put 4 as the next digit of the answer. 
Result so far: 74.0
The remainder is 18 after subtracting 236 from 254.
Grab the next digit (4) from the dividend, add it to 18, then carry on: 184 / 59

Let's proceed to step 5:
59 can be fit into 184 3 times, resulting in a remainder of 7.
Record the quotient 3 as the next digit in the result. 
Result so far: 743.0
Subtracting 177 from 184 leaves us with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Advancing to step 6:
The number 59 fits into 70 1 times, leaving a remainder of 11.
Use 1 as the next digit of our solution. 
Result so far: 743.1
The remainder is 11 after subtracting 59 from 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Advancing to step 7:
59 can be fit into 110 1 times, resulting in a remainder of 51.
Write down 1 as next digit of the result. 
Result so far: 743.11
Subtract 59 from 110 to get 51.
Since there are no more digits in the dividend, we add a zero to the remainder making it 510, and continue the process.

The final result is 743.11 with a remainder of 0.051.