77776538 divided by 606 
We're looking to find how many times 606 goes into 77776538.

Step 1:
If we divide 7 by 606, we get 0 and a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 7, we get 7.
Fetch the next digit (7) from the dividend, attach it to 7 and continue: 77 / 606

On to step 2:
77 divided by 606 is 0 with a remainder of 77.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 77, we end up with 77.
Include the next digit (7) from the dividend after 77, then repeat: 777 / 606

On to step 3:
777 divided by 606 is 1 with a remainder of 171.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtracting 606 from 777 leaves us with 171.
Bring next digit (7) of the dividend behind the 171 and repeat the process: 1717 / 606

Advancing to step 4:
1717 divided by 606 is 2 with a remainder of 505.
Write down 2 as next digit of the result. 
Result so far: 12.0
If we subtract 1212 from 1717, we get 505.
Append the next digit (6) from the dividend to 505 and continue with: 5056 / 606

Advancing to step 5:
606 goes into 5056 8 times with a remainder of 208.
The next digit of our result is 8. 
Result so far: 128.0
If we subtract 4848 from 5056, we get 208.
Take the next digit (5) from the dividend and append it to 208, then repeat: 2085 / 606

Advancing to step 6:
606 goes into 2085 3 times with a remainder of 267.
Record the quotient 3 as the next digit in the result. 
Result so far: 1283.0
If we take 1818 away from 2085, we end up with 267.
Fetch the next digit (3) from the dividend, attach it to 267 and continue: 2673 / 606

Moving on to step 7:
If we divide 2673 by 606, we get 4 and a remainder of 249.
Record the quotient 4 as the next digit in the result. 
Result so far: 12834.0
Subtract 2424 from 2673 to get 249.
Fetch the next digit (8) from the dividend, attach it to 249 and continue: 2498 / 606

Advancing to step 8:
606 can be fit into 2498 4 times, resulting in a remainder of 74.
The next digit of our result is 4. 
Result so far: 128344.0
If we subtract 2424 from 2498, we get 74.
Since there are no more digits in the dividend, we add a zero to the remainder making it 740, and continue the process.

Moving on to step 9:
606 goes into 740 1 times with a remainder of 134.
Use 1 as the next digit of our solution. 
Result so far: 128344.1
If we subtract 606 from 740, we get 134.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1340, and continue the process.

Going ahead to step 10:
The number 606 fits into 1340 2 times, leaving a remainder of 128.
Put 2 as the next digit of the answer. 
Result so far: 128344.12
Deduct 1212 from 1340 and we're left with 128.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1280, and continue the process.

Going ahead to step 11:
When dividing 1280 by 606, we get 2 with a remainder of 68.
Record the quotient 2 as the next digit in the result. 
Result so far: 128344.122
Deduct 1212 from 1280 and we're left with 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

The final outcome is 128344.122, with a leftover of 0.0068.