We're dividing 72667584 by 559 
We want to divide 72667584 by 559.

Step 1:
If we divide 7 by 559, we get 0 and a remainder of 7.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 7, we end up with 7.
Take the next digit (2) from the dividend and append it to 7, then repeat: 72 / 559

Moving on to step 2:
72 divided by 559 is 0 with a remainder of 72.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 72 leaves us with 72.
Take the next digit (6) from the dividend and append it to 72, then repeat: 726 / 559

On to step 3:
559 goes into 726 1 times with a remainder of 167.
Put 1 as the next digit of the answer. 
Result so far: 1.0
If we subtract 559 from 726, we get 167.
Include the next digit (6) from the dividend after 167, then repeat: 1676 / 559

Step 4:
559 goes into 1676 2 times with a remainder of 558.
Record the quotient 2 as the next digit in the result. 
Result so far: 12.0
Subtracting 1118 from 1676 leaves us with 558.
Take the next digit (7) from the dividend and append it to 558, then repeat: 5587 / 559

Let's proceed to step 5:
559 goes into 5587 9 times with a remainder of 556.
Write down 9 as next digit of the result. 
Result so far: 129.0
Deduct 5031 from 5587 and we're left with 556.
Include the next digit (5) from the dividend after 556, then repeat: 5565 / 559

Going ahead to step 6:
If we divide 5565 by 559, we get 9 and a remainder of 534.
Use 9 as the next digit of our solution. 
Result so far: 1299.0
Subtract 5031 from 5565 to get 534.
Bring next digit (8) of the dividend behind the 534 and repeat the process: 5348 / 559

On to step 7:
When dividing 5348 by 559, we get 9 with a remainder of 317.
Record the quotient 9 as the next digit in the result. 
Result so far: 12999.0
Deduct 5031 from 5348 and we're left with 317.
Bring next digit (4) of the dividend behind the 317 and repeat the process: 3174 / 559

Going ahead to step 8:
The number 559 fits into 3174 5 times, leaving a remainder of 379.
The next digit of our result is 5. 
Result so far: 129995.0
Deduct 2795 from 3174 and we're left with 379.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3790, and continue the process.

Advancing to step 9:
When dividing 3790 by 559, we get 6 with a remainder of 436.
The next digit of our result is 6. 
Result so far: 129995.6
Deduct 3354 from 3790 and we're left with 436.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4360, and continue the process.

Step 10:
559 can be fit into 4360 7 times, resulting in a remainder of 447.
The next digit of our result is 7. 
Result so far: 129995.67
Deduct 3913 from 4360 and we're left with 447.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4470, and continue the process.

Moving on to step 11:
When dividing 4470 by 559, we get 7 with a remainder of 557.
Put 7 as the next digit of the answer. 
Result so far: 129995.677
If we subtract 3913 from 4470, we get 557.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5570, and continue the process.

The final outcome is 129995.677, with a leftover of 0.0557.