105965 divided by 47 
We want to divide 105965 by 47.

Step 1:
When dividing 1 by 47, we get 0 with a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Take the next digit (0) from the dividend and append it to 1, then repeat: 10 / 47

Step 2:
47 goes into 10 0 times with a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 10 after subtracting 0 from 10.
Bring next digit (5) of the dividend behind the 10 and repeat the process: 105 / 47

Going ahead to step 3:
47 can be fit into 105 2 times, resulting in a remainder of 11.
Use 2 as the next digit of our solution. 
Result so far: 2.0
If we subtract 94 from 105, we get 11.
Append the next digit (9) from the dividend to 11 and continue with: 119 / 47

Step 4:
If we divide 119 by 47, we get 2 and a remainder of 25.
Use 2 as the next digit of our solution. 
Result so far: 22.0
If we take 94 away from 119, we end up with 25.
Take the next digit (6) from the dividend and append it to 25, then repeat: 256 / 47

On to step 5:
256 divided by 47 is 5 with a remainder of 21.
Record the quotient 5 as the next digit in the result. 
Result so far: 225.0
If we take 235 away from 256, we end up with 21.
Bring next digit (5) of the dividend behind the 21 and repeat the process: 215 / 47

Let's proceed to step 6:
47 can be fit into 215 4 times, resulting in a remainder of 27.
The number 4 becomes the next digit in our result. 
Result so far: 2254.0
The remainder is 27 after subtracting 188 from 215.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Moving on to step 7:
The number 47 fits into 270 5 times, leaving a remainder of 35.
The number 5 becomes the next digit in our result. 
Result so far: 2254.5
If we take 235 away from 270, we end up 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.

Advancing to step 8:
47 can be fit into 350 7 times, resulting in a remainder of 21.
Put 7 as the next digit of the answer. 
Result so far: 2254.57
If we take 329 away from 350, 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.

Going ahead to step 9:
When dividing 210 by 47, we get 4 with a remainder of 22.
Put 4 as the next digit of the answer. 
Result so far: 2254.574
Subtracting 188 from 210 leaves us with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Moving on to step 10:
When dividing 220 by 47, we get 4 with a remainder of 32.
Write down 4 as next digit of the result. 
Result so far: 2254.5744
Subtract 188 from 220 to get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

In conclusion, the division gives 2254.5744 with a balance of 0.00032.