We're dividing 436374 by 98 
We want to divide 436374 by 98.

Step 1:
If we divide 4 by 98, we get 0 and a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Bring next digit (3) of the dividend behind the 4 and repeat the process: 43 / 98

Advancing to step 2:
The number 98 fits into 43 0 times, leaving a remainder of 43.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 43 and we're left with 43.
Append the next digit (6) from the dividend to 43 and continue with: 436 / 98

Moving on to step 3:
If we divide 436 by 98, we get 4 and a remainder of 44.
Write down 4 as next digit of the result. 
Result so far: 4.0
If we subtract 392 from 436, we get 44.
Include the next digit (3) from the dividend after 44, then repeat: 443 / 98

Let's proceed to step 4:
When dividing 443 by 98, we get 4 with a remainder of 51.
Use 4 as the next digit of our solution. 
Result so far: 44.0
Subtract 392 from 443 to get 51.
Grab the next digit (7) from the dividend, add it to 51, then carry on: 517 / 98

Let's proceed to step 5:
98 goes into 517 5 times with a remainder of 27.
The number 5 becomes the next digit in our result. 
Result so far: 445.0
If we subtract 490 from 517, we get 27.
Take the next digit (4) from the dividend and append it to 27, then repeat: 274 / 98

Let's proceed to step 6:
98 can be fit into 274 2 times, resulting in a remainder of 78.
The number 2 becomes the next digit in our result. 
Result so far: 4452.0
Subtracting 196 from 274 leaves us 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.

Step 7:
The number 98 fits into 780 7 times, leaving a remainder of 94.
Use 7 as the next digit of our solution. 
Result so far: 4452.7
Subtract 686 from 780 to get 94.
Since there are no more digits in the dividend, we add a zero to the remainder making it 940, and continue the process.

Let's proceed to step 8:
The number 98 fits into 940 9 times, leaving a remainder of 58.
Put 9 as the next digit of the answer. 
Result so far: 4452.79
If we subtract 882 from 940, we get 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Going ahead to step 9:
98 can be fit into 580 5 times, resulting in a remainder of 90.
Put 5 as the next digit of the answer. 
Result so far: 4452.795
Subtracting 490 from 580 leaves us with 90.
Since there are no more digits in the dividend, we add a zero to the remainder making it 900, and continue the process.

Moving on to step 10:
If we divide 900 by 98, we get 9 and a remainder of 18.
Use 9 as the next digit of our solution. 
Result so far: 4452.7959
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.

Step 11:
98 goes into 180 1 times with a remainder of 82.
Use 1 as the next digit of our solution. 
Result so far: 4452.79591
The remainder is 82 after subtracting 98 from 180.
Since there are no more digits in the dividend, we add a zero to the remainder making it 820, and continue the process.

Step 12:
When dividing 820 by 98, we get 8 with a remainder of 36.
The next digit of our result is 8. 
Result so far: 4452.795918
Deduct 784 from 820 and we're left with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Step 13:
98 can be fit into 360 3 times, resulting in a remainder of 66.
Use 3 as the next digit of our solution. 
Result so far: 4452.7959183
Subtracting 294 from 360 leaves us with 66.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

Advancing to step 14:
660 divided by 98 is 6 with a remainder of 72.
Write down 6 as next digit of the result. 
Result so far: 4452.79591836
Deduct 588 from 660 and we're left with 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

In conclusion, the division gives 4452.79591836 with a balance of 7.2e-08.