76563687 ÷ 603 
Our goal is to divide 76563687 by 603.

Step 1:
603 goes into 7 0 times with a remainder of 7.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 7 to get 7.
Fetch the next digit (6) from the dividend, attach it to 7 and continue: 76 / 603

Let's proceed to step 2:
603 goes into 76 0 times with a remainder of 76.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 76, we end up with 76.
Fetch the next digit (5) from the dividend, attach it to 76 and continue: 765 / 603

Step 3:
603 goes into 765 1 times with a remainder of 162.
The next digit of our result is 1. 
Result so far: 1.0
If we subtract 603 from 765, we get 162.
Fetch the next digit (6) from the dividend, attach it to 162 and continue: 1626 / 603

On to step 4:
The number 603 fits into 1626 2 times, leaving a remainder of 420.
The next digit of our result is 2. 
Result so far: 12.0
If we take 1206 away from 1626, we end up with 420.
Include the next digit (3) from the dividend after 420, then repeat: 4203 / 603

On to step 5:
When dividing 4203 by 603, we get 6 with a remainder of 585.
The next digit of our result is 6. 
Result so far: 126.0
The remainder is 585 after subtracting 3618 from 4203.
Fetch the next digit (6) from the dividend, attach it to 585 and continue: 5856 / 603

Step 6:
5856 divided by 603 is 9 with a remainder of 429.
Use 9 as the next digit of our solution. 
Result so far: 1269.0
Subtract 5427 from 5856 to get 429.
Include the next digit (8) from the dividend after 429, then repeat: 4298 / 603

Step 7:
The number 603 fits into 4298 7 times, leaving a remainder of 77.
Use 7 as the next digit of our solution. 
Result so far: 12697.0
Deduct 4221 from 4298 and we're left with 77.
Include the next digit (7) from the dividend after 77, then repeat: 777 / 603

On to step 8:
603 goes into 777 1 times with a remainder of 174.
Put 1 as the next digit of the answer. 
Result so far: 126971.0
If we subtract 603 from 777, we get 174.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1740, and continue the process.

Let's proceed to step 9:
The number 603 fits into 1740 2 times, leaving a remainder of 534.
Write down 2 as next digit of the result. 
Result so far: 126971.2
Subtracting 1206 from 1740 leaves us with 534.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5340, and continue the process.

Moving on to step 10:
603 can be fit into 5340 8 times, resulting in a remainder of 516.
Record the quotient 8 as the next digit in the result. 
Result so far: 126971.28
Subtracting 4824 from 5340 leaves us with 516.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5160, and continue the process.

Going ahead to step 11:
If we divide 5160 by 603, we get 8 and a remainder of 336.
The number 8 becomes the next digit in our result. 
Result so far: 126971.288
If we subtract 4824 from 5160, we get 336.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3360, and continue the process.

The final outcome is 126971.288, with a leftover of 0.0336.