We look at the division of 105601 by 352 
We want to divide 105601 by 352.

On to step 1:
1 divided by 352 is 0 with a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Bring next digit (0) of the dividend behind the 1 and repeat the process: 10 / 352

Moving on to step 2:
The number 352 fits into 10 0 times, leaving a remainder of 10.
Write down 0 as next digit of the 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 / 352

Advancing to step 3:
105 divided by 352 is 0 with a remainder of 105.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 105 after subtracting 0 from 105.
Grab the next digit (6) from the dividend, add it to 105, then carry on: 1056 / 352

Moving on to step 4:
If we divide 1056 by 352, we get 3 and a remainder of 0.
Record the quotient 3 as the next digit in the result. 
Result so far: 3.0
Subtracting 1056 from 1056 leaves us with 0.
Bring next digit (0) of the dividend behind the 0 and repeat the process: 0 / 352

Step 5:
0 divided by 352 is 0 with a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 30.0
Subtracting 0 from 0 leaves us with 0.
Include the next digit (1) from the dividend after 0, then repeat: 1 / 352

Moving on to step 6:
1 divided by 352 is 0 with a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 300.0
If we take 0 away from 1, we end up with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Advancing to step 7:
352 can be fit into 10 0 times, resulting in a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 300.0
Deduct 0 from 10 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 8:
352 can be fit into 100 0 times, resulting in a remainder of 100.
The next digit of our result is 0. 
Result so far: 300.0
If we subtract 0 from 100, we get 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1000, and continue the process.

The quotient of the division is 300.0, and the remainder is 0.1.