We're dividing 553042 by 68 
Our goal is to divide 553042 by 68.

Moving on to step 1:
68 goes into 5 0 times with a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Fetch the next digit (5) from the dividend, attach it to 5 and continue: 55 / 68

Step 2:
If we divide 55 by 68, we get 0 and a remainder of 55.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 55 to get 55.
Fetch the next digit (3) from the dividend, attach it to 55 and continue: 553 / 68

Step 3:
553 divided by 68 is 8 with a remainder of 9.
Use 8 as the next digit of our solution. 
Result so far: 8.0
Subtract 544 from 553 to get 9.
Bring next digit (0) of the dividend behind the 9 and repeat the process: 90 / 68

Going ahead to step 4:
When dividing 90 by 68, we get 1 with a remainder of 22.
Record the quotient 1 as the next digit in the result. 
Result so far: 81.0
Subtracting 68 from 90 leaves us with 22.
Take the next digit (4) from the dividend and append it to 22, then repeat: 224 / 68

Step 5:
When dividing 224 by 68, we get 3 with a remainder of 20.
The number 3 becomes the next digit in our result. 
Result so far: 813.0
Subtract 204 from 224 to get 20.
Take the next digit (2) from the dividend and append it to 20, then repeat: 202 / 68

Let's proceed to step 6:
68 goes into 202 2 times with a remainder of 66.
Use 2 as the next digit of our solution. 
Result so far: 8132.0
Subtracting 136 from 202 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.

Let's proceed to step 7:
68 can be fit into 660 9 times, resulting in a remainder of 48.
Use 9 as the next digit of our solution. 
Result so far: 8132.9
The remainder is 48 after subtracting 612 from 660.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Step 8:
68 goes into 480 7 times with a remainder of 4.
Put 7 as the next digit of the answer. 
Result so far: 8132.97
Deduct 476 from 480 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Going ahead to step 9:
68 goes into 40 0 times with a remainder of 40.
The next digit of our result is 0. 
Result so far: 8132.97
Subtracting 0 from 40 leaves us with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Advancing to step 10:
400 divided by 68 is 5 with a remainder of 60.
Put 5 as the next digit of the answer. 
Result so far: 8132.9705
If we subtract 340 from 400, we get 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Going ahead to step 11:
If we divide 600 by 68, we get 8 and a remainder of 56.
Put 8 as the next digit of the answer. 
Result so far: 8132.97058
If we take 544 away from 600, we end up with 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Going ahead to step 12:
68 can be fit into 560 8 times, resulting in a remainder of 16.
The number 8 becomes the next digit in our result. 
Result so far: 8132.970588
Deduct 544 from 560 and we're left with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

The final outcome is 8132.970588, with a leftover of 1.6e-06.