603303 ÷ 68 
We're looking to find how many times 68 goes into 603303.

Moving on to step 1:
If we divide 6 by 68, we get 0 and a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Include the next digit (0) from the dividend after 6, then repeat: 60 / 68

Step 2:
When dividing 60 by 68, we get 0 with a remainder of 60.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 60, we get 60.
Take the next digit (3) from the dividend and append it to 60, then repeat: 603 / 68

Going ahead to step 3:
68 can be fit into 603 8 times, resulting in a remainder of 59.
Record the quotient 8 as the next digit in the result. 
Result so far: 8.0
Subtracting 544 from 603 leaves us with 59.
Grab the next digit (3) from the dividend, add it to 59, then carry on: 593 / 68

Let's proceed to step 4:
68 goes into 593 8 times with a remainder of 49.
Record the quotient 8 as the next digit in the result. 
Result so far: 88.0
If we take 544 away from 593, we end up with 49.
Bring next digit (0) of the dividend behind the 49 and repeat the process: 490 / 68

Going ahead to step 5:
490 divided by 68 is 7 with a remainder of 14.
The next digit of our result is 7. 
Result so far: 887.0
Deduct 476 from 490 and we're left with 14.
Bring next digit (3) of the dividend behind the 14 and repeat the process: 143 / 68

Step 6:
143 divided by 68 is 2 with a remainder of 7.
The next digit of our result is 2. 
Result so far: 8872.0
Subtract 136 from 143 to 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.

Let's proceed to step 7:
When dividing 70 by 68, we get 1 with a remainder of 2.
Use 1 as the next digit of our solution. 
Result so far: 8872.1
Subtracting 68 from 70 leaves us with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Let's proceed to step 8:
When dividing 20 by 68, we get 0 with a remainder of 20.
The number 0 becomes the next digit in our result. 
Result so far: 8872.1
Subtracting 0 from 20 leaves us with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

On to step 9:
When dividing 200 by 68, we get 2 with a remainder of 64.
Write down 2 as next digit of the result. 
Result so far: 8872.102
Subtract 136 from 200 to get 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Advancing to step 10:
640 divided by 68 is 9 with a remainder of 28.
Record the quotient 9 as the next digit in the result. 
Result so far: 8872.1029
If we subtract 612 from 640, we get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Moving on to step 11:
If we divide 280 by 68, we get 4 and a remainder of 8.
Use 4 as the next digit of our solution. 
Result so far: 8872.10294
Subtracting 272 from 280 leaves us with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Advancing to step 12:
80 divided by 68 is 1 with a remainder of 12.
Put 1 as the next digit of the answer. 
Result so far: 8872.102941
Deduct 68 from 80 and we're left with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Let's proceed to step 13:
The number 68 fits into 120 1 times, leaving a remainder of 52.
The next digit of our result is 1. 
Result so far: 8872.1029411
Subtract 68 from 120 to get 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

In conclusion, the division gives 8872.1029411 with a balance of 5.2e-07.