We look at the division of 7344303 by 998 
We want to divide 7344303 by 998.

Let's proceed to step 1:
7 divided by 998 is 0 with a remainder of 7.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 7 after subtracting 0 from 7.
Grab the next digit (3) from the dividend, add it to 7, then carry on: 73 / 998

Moving on to step 2:
998 goes into 73 0 times with a remainder of 73.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 73, we end up with 73.
Take the next digit (4) from the dividend and append it to 73, then repeat: 734 / 998

Advancing to step 3:
When dividing 734 by 998, we get 0 with a remainder of 734.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 734 to get 734.
Take the next digit (4) from the dividend and append it to 734, then repeat: 7344 / 998

Let's proceed to step 4:
998 goes into 7344 7 times with a remainder of 358.
Record the quotient 7 as the next digit in the result. 
Result so far: 7.0
If we subtract 6986 from 7344, we get 358.
Take the next digit (3) from the dividend and append it to 358, then repeat: 3583 / 998

Moving on to step 5:
3583 divided by 998 is 3 with a remainder of 589.
Use 3 as the next digit of our solution. 
Result so far: 73.0
Subtracting 2994 from 3583 leaves us with 589.
Grab the next digit (0) from the dividend, add it to 589, then carry on: 5890 / 998

Moving on to step 6:
When dividing 5890 by 998, we get 5 with a remainder of 900.
The next digit of our result is 5. 
Result so far: 735.0
If we take 4990 away from 5890, we end up with 900.
Include the next digit (3) from the dividend after 900, then repeat: 9003 / 998

Going ahead to step 7:
The number 998 fits into 9003 9 times, leaving a remainder of 21.
The next digit of our result is 9. 
Result so far: 7359.0
If we subtract 8982 from 9003, we get 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Step 8:
998 goes into 210 0 times with a remainder of 210.
Use 0 as the next digit of our solution. 
Result so far: 7359.0
Subtracting 0 from 210 leaves us with 210.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2100, and continue the process.

Let's proceed to step 9:
When dividing 2100 by 998, we get 2 with a remainder of 104.
Record the quotient 2 as the next digit in the result. 
Result so far: 7359.02
Deduct 1996 from 2100 and we're left with 104.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1040, and continue the process.

Let's proceed to step 10:
1040 divided by 998 is 1 with a remainder of 42.
Use 1 as the next digit of our solution. 
Result so far: 7359.021
If we take 998 away from 1040, we end up with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Going ahead to step 11:
When dividing 420 by 998, we get 0 with a remainder of 420.
Write down 0 as next digit of the result. 
Result so far: 7359.021
Subtract 0 from 420 to get 420.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4200, and continue the process.

Step 12:
When dividing 4200 by 998, we get 4 with a remainder of 208.
Write down 4 as next digit of the result. 
Result so far: 7359.02104
The remainder is 208 after subtracting 3992 from 4200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2080, and continue the process.

Let's proceed to step 13:
When dividing 2080 by 998, we get 2 with a remainder of 84.
Write down 2 as next digit of the result. 
Result so far: 7359.021042
Deduct 1996 from 2080 and we're left with 84.
Since there are no more digits in the dividend, we add a zero to the remainder making it 840, and continue the process.

Let's proceed to step 14:
998 goes into 840 0 times with a remainder of 840.
The number 0 becomes the next digit in our result. 
Result so far: 7359.021042
The remainder is 840 after subtracting 0 from 840.
Since there are no more digits in the dividend, we add a zero to the remainder making it 8400, and continue the process.

Advancing to step 15:
8400 divided by 998 is 8 with a remainder of 416.
Record the quotient 8 as the next digit in the result. 
Result so far: 7359.02104208
Subtracting 7984 from 8400 leaves us with 416.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4160, and continue the process.

After the division, we end up with 7359.02104208 and a remainder of 4.16e-07.