We look at the division of 105387 by 98 
We want to figure out the number of times 105387 can be divided by 98.

Let's proceed to step 1:
1 divided by 98 is 0 with a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Bring next digit (0) of the dividend behind the 1 and repeat the process: 10 / 98

Advancing to step 2:
98 can be fit into 10 0 times, resulting in a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 10 and we're left with 10.
Include the next digit (5) from the dividend after 10, then repeat: 105 / 98

Advancing to step 3:
98 goes into 105 1 times with a remainder of 7.
The next digit of our result is 1. 
Result so far: 1.0
If we subtract 98 from 105, we get 7.
Take the next digit (3) from the dividend and append it to 7, then repeat: 73 / 98

Moving on to step 4:
If we divide 73 by 98, we get 0 and a remainder of 73.
Write down 0 as next digit of the result. 
Result so far: 10.0
The remainder is 73 after subtracting 0 from 73.
Fetch the next digit (8) from the dividend, attach it to 73 and continue: 738 / 98

Going ahead to step 5:
98 can be fit into 738 7 times, resulting in a remainder of 52.
Put 7 as the next digit of the answer. 
Result so far: 107.0
Deduct 686 from 738 and we're left with 52.
Append the next digit (7) from the dividend to 52 and continue with: 527 / 98

Moving on to step 6:
If we divide 527 by 98, we get 5 and a remainder of 37.
The next digit of our result is 5. 
Result so far: 1075.0
Subtracting 490 from 527 leaves us with 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Moving on to step 7:
98 goes into 370 3 times with a remainder of 76.
Record the quotient 3 as the next digit in the result. 
Result so far: 1075.3
The remainder is 76 after subtracting 294 from 370.
Since there are no more digits in the dividend, we add a zero to the remainder making it 760, and continue the process.

On to step 8:
The number 98 fits into 760 7 times, leaving a remainder of 74.
Write down 7 as next digit of the result. 
Result so far: 1075.37
Subtract 686 from 760 to get 74.
Since there are no more digits in the dividend, we add a zero to the remainder making it 740, and continue the process.

Step 9:
If we divide 740 by 98, we get 7 and a remainder of 54.
Write down 7 as next digit of the result. 
Result so far: 1075.377
The remainder is 54 after subtracting 686 from 740.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

The final result is 1075.377 with a remainder of 0.0054.