We look at the division of 103438 by 98 
We want to figure out the number of times 103438 can be divided by 98.

Advancing to step 1:
The number 98 fits into 1 0 times, leaving a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Append the next digit (0) from the dividend to 1 and continue with: 10 / 98

Moving on to step 2:
If we divide 10 by 98, we get 0 and a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 10 and we're left with 10.
Grab the next digit (3) from the dividend, add it to 10, then carry on: 103 / 98

Let's proceed to step 3:
If we divide 103 by 98, we get 1 and a remainder of 5.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtracting 98 from 103 leaves us with 5.
Append the next digit (4) from the dividend to 5 and continue with: 54 / 98

Step 4:
If we divide 54 by 98, we get 0 and a remainder of 54.
Record the quotient 0 as the next digit in the result. 
Result so far: 10.0
The remainder is 54 after subtracting 0 from 54.
Take the next digit (3) from the dividend and append it to 54, then repeat: 543 / 98

Advancing to step 5:
The number 98 fits into 543 5 times, leaving a remainder of 53.
The number 5 becomes the next digit in our result. 
Result so far: 105.0
Subtract 490 from 543 to get 53.
Take the next digit (8) from the dividend and append it to 53, then repeat: 538 / 98

On to step 6:
If we divide 538 by 98, we get 5 and a remainder of 48.
Record the quotient 5 as the next digit in the result. 
Result so far: 1055.0
If we take 490 away from 538, we end up with 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

On to step 7:
480 divided by 98 is 4 with a remainder of 88.
Write down 4 as next digit of the result. 
Result so far: 1055.4
If we subtract 392 from 480, we get 88.
Since there are no more digits in the dividend, we add a zero to the remainder making it 880, and continue the process.

Going ahead to step 8:
98 goes into 880 8 times with a remainder of 96.
The next digit of our result is 8. 
Result so far: 1055.48
If we subtract 784 from 880, we get 96.
Since there are no more digits in the dividend, we add a zero to the remainder making it 960, and continue the process.

Let's proceed to step 9:
When dividing 960 by 98, we get 9 with a remainder of 78.
Write down 9 as next digit of the result. 
Result so far: 1055.489
If we take 882 away from 960, we end up with 78.
Since there are no more digits in the dividend, we add a zero to the remainder making it 780, and continue the process.

On to step 10:
The number 98 fits into 780 7 times, leaving a remainder of 94.
Record the quotient 7 as the next digit in the result. 
Result so far: 1055.4897
If we take 686 away from 780, we end up with 94.
Since there are no more digits in the dividend, we add a zero to the remainder making it 940, and continue the process.

Advancing to step 11:
If we divide 940 by 98, we get 9 and a remainder of 58.
Record the quotient 9 as the next digit in the result. 
Result so far: 1055.48979
If we take 882 away from 940, we end up with 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

On to step 12:
If we divide 580 by 98, we get 5 and a remainder of 90.
The next digit of our result is 5. 
Result so far: 1055.489795
Subtract 490 from 580 to get 90.
Since there are no more digits in the dividend, we add a zero to the remainder making it 900, and continue the process.

Going ahead to step 13:
900 divided by 98 is 9 with a remainder of 18.
Put 9 as the next digit of the answer. 
Result so far: 1055.4897959
If we subtract 882 from 900, we get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Let's proceed to step 14:
The number 98 fits into 180 1 times, leaving a remainder of 82.
The number 1 becomes the next digit in our result. 
Result so far: 1055.48979591
If we take 98 away from 180, we end up with 82.
Since there are no more digits in the dividend, we add a zero to the remainder making it 820, and continue the process.

The final outcome is 1055.48979591, with a leftover of 8.2e-08.