We're dividing 498058 by 9 
We want to figure out the number of times 498058 can be divided by 9.

Let's proceed to step 1:
9 can be fit into 4 0 times, resulting in a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Grab the next digit (9) from the dividend, add it to 4, then carry on: 49 / 9

Moving on to step 2:
9 can be fit into 49 5 times, resulting in a remainder of 4.
Record the quotient 5 as the next digit in the result. 
Result so far: 5.0
Subtract 45 from 49 to get 4.
Include the next digit (8) from the dividend after 4, then repeat: 48 / 9

Step 3:
9 goes into 48 5 times with a remainder of 3.
The next digit of our result is 5. 
Result so far: 55.0
If we take 45 away from 48, we end up with 3.
Take the next digit (0) from the dividend and append it to 3, then repeat: 30 / 9

Moving on to step 4:
If we divide 30 by 9, we get 3 and a remainder of 3.
Put 3 as the next digit of the answer. 
Result so far: 553.0
Deduct 27 from 30 and we're left with 3.
Bring next digit (5) of the dividend behind the 3 and repeat the process: 35 / 9

Going ahead to step 5:
If we divide 35 by 9, we get 3 and a remainder of 8.
The next digit of our result is 3. 
Result so far: 5533.0
If we subtract 27 from 35, we get 8.
Take the next digit (8) from the dividend and append it to 8, then repeat: 88 / 9

Moving on to step 6:
When dividing 88 by 9, we get 9 with a remainder of 7.
Put 9 as the next digit of the answer. 
Result so far: 55339.0
Subtracting 81 from 88 leaves us with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Moving on to step 7:
When dividing 70 by 9, we get 7 with a remainder of 7.
Put 7 as the next digit of the answer. 
Result so far: 55339.7
If we subtract 63 from 70, we get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

On to step 8:
9 goes into 70 7 times with a remainder of 7.
Use 7 as the next digit of our solution. 
Result so far: 55339.77
Deduct 63 from 70 and we're left with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

The quotient of the division is 55339.77, and the remainder is 0.007.