We look at the division of 6419258 by 998 
We're looking to find how many times 998 goes into 6419258.

On to step 1:
If we divide 6 by 998, we get 0 and a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 6, we get 6.
Include the next digit (4) from the dividend after 6, then repeat: 64 / 998

Let's proceed to step 2:
The number 998 fits into 64 0 times, leaving a remainder of 64.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 64 to get 64.
Grab the next digit (1) from the dividend, add it to 64, then carry on: 641 / 998

Moving on to step 3:
If we divide 641 by 998, we get 0 and a remainder of 641.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 641 and we're left with 641.
Include the next digit (9) from the dividend after 641, then repeat: 6419 / 998

On to step 4:
998 goes into 6419 6 times with a remainder of 431.
Use 6 as the next digit of our solution. 
Result so far: 6.0
If we take 5988 away from 6419, we end up with 431.
Bring next digit (2) of the dividend behind the 431 and repeat the process: 4312 / 998

Advancing to step 5:
The number 998 fits into 4312 4 times, leaving a remainder of 320.
Record the quotient 4 as the next digit in the result. 
Result so far: 64.0
The remainder is 320 after subtracting 3992 from 4312.
Append the next digit (5) from the dividend to 320 and continue with: 3205 / 998

Going ahead to step 6:
When dividing 3205 by 998, we get 3 with a remainder of 211.
Put 3 as the next digit of the answer. 
Result so far: 643.0
Subtract 2994 from 3205 to get 211.
Grab the next digit (8) from the dividend, add it to 211, then carry on: 2118 / 998

Let's proceed to step 7:
998 goes into 2118 2 times with a remainder of 122.
The number 2 becomes the next digit in our result. 
Result so far: 6432.0
Deduct 1996 from 2118 and we're left with 122.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1220, and continue the process.

Going ahead to step 8:
The number 998 fits into 1220 1 times, leaving a remainder of 222.
Put 1 as the next digit of the answer. 
Result so far: 6432.1
If we take 998 away from 1220, we end up with 222.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2220, and continue the process.

Let's proceed to step 9:
If we divide 2220 by 998, we get 2 and a remainder of 224.
Put 2 as the next digit of the answer. 
Result so far: 6432.12
If we take 1996 away from 2220, we end up with 224.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2240, and continue the process.

Let's proceed to step 10:
If we divide 2240 by 998, we get 2 and a remainder of 244.
The next digit of our result is 2. 
Result so far: 6432.122
If we take 1996 away from 2240, we end up with 244.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2440, and continue the process.

The final result is 6432.122 with a remainder of 0.0244.