We look at the division of 105755 by 69 
Let's see how many times 69 fits into 105755.

Let's proceed to step 1:
The number 69 fits into 1 0 times, leaving a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Grab the next digit (0) from the dividend, add it to 1, then carry on: 10 / 69

Advancing to step 2:
When dividing 10 by 69, we get 0 with a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 10, we get 10.
Append the next digit (5) from the dividend to 10 and continue with: 105 / 69

Going ahead to step 3:
The number 69 fits into 105 1 times, leaving a remainder of 36.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtract 69 from 105 to get 36.
Fetch the next digit (7) from the dividend, attach it to 36 and continue: 367 / 69

Moving on to step 4:
If we divide 367 by 69, we get 5 and a remainder of 22.
Write down 5 as next digit of the result. 
Result so far: 15.0
If we take 345 away from 367, we end up with 22.
Fetch the next digit (5) from the dividend, attach it to 22 and continue: 225 / 69

Advancing to step 5:
69 can be fit into 225 3 times, resulting in a remainder of 18.
Put 3 as the next digit of the answer. 
Result so far: 153.0
Subtracting 207 from 225 leaves us with 18.
Fetch the next digit (5) from the dividend, attach it to 18 and continue: 185 / 69

Moving on to step 6:
When dividing 185 by 69, we get 2 with a remainder of 47.
Write down 2 as next digit of the result. 
Result so far: 1532.0
Subtract 138 from 185 to get 47.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

On to step 7:
If we divide 470 by 69, we get 6 and a remainder of 56.
The next digit of our result is 6. 
Result so far: 1532.6
Deduct 414 from 470 and we're left with 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Step 8:
69 goes into 560 8 times with a remainder of 8.
Record the quotient 8 as the next digit in the result. 
Result so far: 1532.68
Deduct 552 from 560 and we're left 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 9:
The number 69 fits into 80 1 times, leaving a remainder of 11.
The number 1 becomes the next digit in our result. 
Result so far: 1532.681
Subtracting 69 from 80 leaves us 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.

On to step 10:
When dividing 110 by 69, we get 1 with a remainder of 41.
Put 1 as the next digit of the answer. 
Result so far: 1532.6811
Deduct 69 from 110 and we're left with 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

The quotient of the division is 1532.6811, and the remainder is 0.00041.