We're dividing 105695 by 52 
We're looking to find how many times 52 goes into 105695.

Let's proceed to step 1:
If we divide 1 by 52, we get 0 and a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Append the next digit (0) from the dividend to 1 and continue with: 10 / 52

Moving on to step 2:
52 goes into 10 0 times with a remainder of 10.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 10 leaves us with 10.
Take the next digit (5) from the dividend and append it to 10, then repeat: 105 / 52

Going ahead to step 3:
The number 52 fits into 105 2 times, leaving a remainder of 1.
Use 2 as the next digit of our solution. 
Result so far: 2.0
If we subtract 104 from 105, we get 1.
Grab the next digit (6) from the dividend, add it to 1, then carry on: 16 / 52

Step 4:
16 divided by 52 is 0 with a remainder of 16.
Put 0 as the next digit of the answer. 
Result so far: 20.0
Subtracting 0 from 16 leaves us with 16.
Include the next digit (9) from the dividend after 16, then repeat: 169 / 52

On to step 5:
If we divide 169 by 52, we get 3 and a remainder of 13.
The next digit of our result is 3. 
Result so far: 203.0
Subtracting 156 from 169 leaves us with 13.
Include the next digit (5) from the dividend after 13, then repeat: 135 / 52

Let's proceed to step 6:
The number 52 fits into 135 2 times, leaving a remainder of 31.
Use 2 as the next digit of our solution. 
Result so far: 2032.0
Subtract 104 from 135 to get 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Step 7:
52 goes into 310 5 times with a remainder of 50.
Use 5 as the next digit of our solution. 
Result so far: 2032.5
Subtracting 260 from 310 leaves us with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Step 8:
500 divided by 52 is 9 with a remainder of 32.
Write down 9 as next digit of the result. 
Result so far: 2032.59
Subtract 468 from 500 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.

Moving on to step 9:
52 goes into 320 6 times with a remainder of 8.
Put 6 as the next digit of the answer. 
Result so far: 2032.596
The remainder is 8 after subtracting 312 from 320.
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:
52 can be fit into 80 1 times, resulting in a remainder of 28.
Put 1 as the next digit of the answer. 
Result so far: 2032.5961
Deduct 52 from 80 and we're left with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

On to step 11:
280 divided by 52 is 5 with a remainder of 20.
Write down 5 as next digit of the result. 
Result so far: 2032.59615
Deduct 260 from 280 and we're left with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Moving on to step 12:
When dividing 200 by 52, we get 3 with a remainder of 44.
Put 3 as the next digit of the answer. 
Result so far: 2032.596153
If we subtract 156 from 200, we get 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Let's proceed to step 13:
52 goes into 440 8 times with a remainder of 24.
Record the quotient 8 as the next digit in the result. 
Result so far: 2032.5961538
The remainder is 24 after subtracting 416 from 440.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

On to step 14:
The number 52 fits into 240 4 times, leaving a remainder of 32.
Use 4 as the next digit of our solution. 
Result so far: 2032.59615384
If we take 208 away from 240, we end up with 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 2032.59615384 with a balance of 3.2e-08.