77677403 ÷ 107 
We want to figure out the number of times 77677403 can be divided by 107.

Moving on to step 1:
When dividing 7 by 107, we get 0 with a remainder of 7.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 7 to get 7.
Bring next digit (7) of the dividend behind the 7 and repeat the process: 77 / 107

On to step 2:
77 divided by 107 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.
Grab the next digit (6) from the dividend, add it to 77, then carry on: 776 / 107

Let's proceed to step 3:
107 can be fit into 776 7 times, resulting in a remainder of 27.
The number 7 becomes the next digit in our result. 
Result so far: 7.0
If we subtract 749 from 776, we get 27.
Bring next digit (7) of the dividend behind the 27 and repeat the process: 277 / 107

On to step 4:
107 can be fit into 277 2 times, resulting in a remainder of 63.
The number 2 becomes the next digit in our result. 
Result so far: 72.0
Subtract 214 from 277 to get 63.
Include the next digit (7) from the dividend after 63, then repeat: 637 / 107

Let's proceed to step 5:
107 can be fit into 637 5 times, resulting in a remainder of 102.
The next digit of our result is 5. 
Result so far: 725.0
If we take 535 away from 637, we end up with 102.
Append the next digit (4) from the dividend to 102 and continue with: 1024 / 107

Step 6:
107 goes into 1024 9 times with a remainder of 61.
Use 9 as the next digit of our solution. 
Result so far: 7259.0
Subtract 963 from 1024 to get 61.
Grab the next digit (0) from the dividend, add it to 61, then carry on: 610 / 107

Going ahead to step 7:
107 can be fit into 610 5 times, resulting in a remainder of 75.
Put 5 as the next digit of the answer. 
Result so far: 72595.0
Deduct 535 from 610 and we're left with 75.
Take the next digit (3) from the dividend and append it to 75, then repeat: 753 / 107

Going ahead to step 8:
The number 107 fits into 753 7 times, leaving a remainder of 4.
Write down 7 as next digit of the result. 
Result so far: 725957.0
Deduct 749 from 753 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.

On to step 9:
107 can be fit into 40 0 times, resulting in a remainder of 40.
The next digit of our result is 0. 
Result so far: 725957.0
The remainder is 40 after subtracting 0 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

On to step 10:
400 divided by 107 is 3 with a remainder of 79.
Write down 3 as next digit of the result. 
Result so far: 725957.03
If we take 321 away from 400, we end up with 79.
Since there are no more digits in the dividend, we add a zero to the remainder making it 790, and continue the process.

Going ahead to step 11:
107 goes into 790 7 times with a remainder of 41.
The next digit of our result is 7. 
Result so far: 725957.037
Subtracting 749 from 790 leaves us with 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

Advancing to step 12:
When dividing 410 by 107, we get 3 with a remainder of 89.
The next digit of our result is 3. 
Result so far: 725957.0373
Subtract 321 from 410 to get 89.
Since there are no more digits in the dividend, we add a zero to the remainder making it 890, and continue the process.

Step 13:
890 divided by 107 is 8 with a remainder of 34.
Use 8 as the next digit of our solution. 
Result so far: 725957.03738
If we take 856 away from 890, 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.

On to step 14:
The number 107 fits into 340 3 times, leaving a remainder of 19.
The next digit of our result is 3. 
Result so far: 725957.037383
If we subtract 321 from 340, we get 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

On to step 15:
107 can be fit into 190 1 times, resulting in a remainder of 83.
The next digit of our result is 1. 
Result so far: 725957.0373831
If we take 107 away from 190, we end up with 83.
Since there are no more digits in the dividend, we add a zero to the remainder making it 830, and continue the process.

Moving on to step 16:
When dividing 830 by 107, we get 7 with a remainder of 81.
Put 7 as the next digit of the answer. 
Result so far: 725957.03738317
If we subtract 749 from 830, we get 81.
Since there are no more digits in the dividend, we add a zero to the remainder making it 810, and continue the process.

In conclusion, the division gives 725957.03738317 with a balance of 8.1e-08.