77640603 ÷ 226 
Our goal is to divide 77640603 by 226.

Step 1:
7 divided by 226 is 0 with a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 7 leaves us with 7.
Bring next digit (7) of the dividend behind the 7 and repeat the process: 77 / 226

Step 2:
When dividing 77 by 226, we get 0 with a remainder of 77.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 77 to get 77.
Fetch the next digit (6) from the dividend, attach it to 77 and continue: 776 / 226

Moving on to step 3:
If we divide 776 by 226, we get 3 and a remainder of 98.
The next digit of our result is 3. 
Result so far: 3.0
If we subtract 678 from 776, we get 98.
Grab the next digit (4) from the dividend, add it to 98, then carry on: 984 / 226

Let's proceed to step 4:
226 can be fit into 984 4 times, resulting in a remainder of 80.
Write down 4 as next digit of the result. 
Result so far: 34.0
Subtract 904 from 984 to get 80.
Bring next digit (0) of the dividend behind the 80 and repeat the process: 800 / 226

Advancing to step 5:
226 can be fit into 800 3 times, resulting in a remainder of 122.
Write down 3 as next digit of the result. 
Result so far: 343.0
Deduct 678 from 800 and we're left with 122.
Bring next digit (6) of the dividend behind the 122 and repeat the process: 1226 / 226

Let's proceed to step 6:
226 can be fit into 1226 5 times, resulting in a remainder of 96.
Put 5 as the next digit of the answer. 
Result so far: 3435.0
Subtract 1130 from 1226 to get 96.
Include the next digit (0) from the dividend after 96, then repeat: 960 / 226

Going ahead to step 7:
226 goes into 960 4 times with a remainder of 56.
Write down 4 as next digit of the result. 
Result so far: 34354.0
Deduct 904 from 960 and we're left with 56.
Take the next digit (3) from the dividend and append it to 56, then repeat: 563 / 226

Advancing to step 8:
563 divided by 226 is 2 with a remainder of 111.
Write down 2 as next digit of the result. 
Result so far: 343542.0
The remainder is 111 after subtracting 452 from 563.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1110, and continue the process.

Step 9:
When dividing 1110 by 226, we get 4 with a remainder of 206.
The number 4 becomes the next digit in our result. 
Result so far: 343542.4
Subtracting 904 from 1110 leaves us with 206.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2060, and continue the process.

On to step 10:
2060 divided by 226 is 9 with a remainder of 26.
The number 9 becomes the next digit in our result. 
Result so far: 343542.49
If we subtract 2034 from 2060, we get 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Advancing to step 11:
226 goes into 260 1 times with a remainder of 34.
Record the quotient 1 as the next digit in the result. 
Result so far: 343542.491
If we take 226 away from 260, we end up with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Let's proceed to step 12:
226 goes into 340 1 times with a remainder of 114.
Use 1 as the next digit of our solution. 
Result so far: 343542.4911
If we take 226 away from 340, we end up with 114.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1140, and continue the process.

The quotient of the division is 343542.4911, and the remainder is 0.00114.