We're dividing 75786649 by 677 
We want to figure out the number of times 75786649 can be divided by 677.

On to step 1:
7 divided by 677 is 0 with a remainder of 7.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 7, we end up with 7.
Include the next digit (5) from the dividend after 7, then repeat: 75 / 677

Advancing to step 2:
If we divide 75 by 677, we get 0 and a remainder of 75.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 75, we get 75.
Fetch the next digit (7) from the dividend, attach it to 75 and continue: 757 / 677

Step 3:
757 divided by 677 is 1 with a remainder of 80.
Write down 1 as next digit of the result. 
Result so far: 1.0
If we take 677 away from 757, we end up with 80.
Fetch the next digit (8) from the dividend, attach it to 80 and continue: 808 / 677

Step 4:
When dividing 808 by 677, we get 1 with a remainder of 131.
The next digit of our result is 1. 
Result so far: 11.0
Subtracting 677 from 808 leaves us with 131.
Append the next digit (6) from the dividend to 131 and continue with: 1316 / 677

Going ahead to step 5:
When dividing 1316 by 677, we get 1 with a remainder of 639.
Use 1 as the next digit of our solution. 
Result so far: 111.0
Deduct 677 from 1316 and we're left with 639.
Grab the next digit (6) from the dividend, add it to 639, then carry on: 6396 / 677

Step 6:
If we divide 6396 by 677, we get 9 and a remainder of 303.
The number 9 becomes the next digit in our result. 
Result so far: 1119.0
If we subtract 6093 from 6396, we get 303.
Include the next digit (4) from the dividend after 303, then repeat: 3034 / 677

On to step 7:
If we divide 3034 by 677, we get 4 and a remainder of 326.
Use 4 as the next digit of our solution. 
Result so far: 11194.0
The remainder is 326 after subtracting 2708 from 3034.
Fetch the next digit (9) from the dividend, attach it to 326 and continue: 3269 / 677

Let's proceed to step 8:
If we divide 3269 by 677, we get 4 and a remainder of 561.
Put 4 as the next digit of the answer. 
Result so far: 111944.0
Subtracting 2708 from 3269 leaves us with 561.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5610, and continue the process.

On to step 9:
677 goes into 5610 8 times with a remainder of 194.
The next digit of our result is 8. 
Result so far: 111944.8
The remainder is 194 after subtracting 5416 from 5610.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1940, and continue the process.

Going ahead to step 10:
677 goes into 1940 2 times with a remainder of 586.
Use 2 as the next digit of our solution. 
Result so far: 111944.82
Subtracting 1354 from 1940 leaves us with 586.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5860, and continue the process.

Advancing to step 11:
5860 divided by 677 is 8 with a remainder of 444.
Record the quotient 8 as the next digit in the result. 
Result so far: 111944.828
If we take 5416 away from 5860, we end up with 444.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4440, and continue the process.

Let's proceed to step 12:
677 goes into 4440 6 times with a remainder of 378.
The number 6 becomes the next digit in our result. 
Result so far: 111944.8286
If we take 4062 away from 4440, we end up with 378.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3780, and continue the process.

Moving on to step 13:
677 can be fit into 3780 5 times, resulting in a remainder of 395.
The next digit of our result is 5. 
Result so far: 111944.82865
Subtracting 3385 from 3780 leaves us with 395.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3950, and continue the process.

Advancing to step 14:
677 can be fit into 3950 5 times, resulting in a remainder of 565.
Put 5 as the next digit of the answer. 
Result so far: 111944.828655
Deduct 3385 from 3950 and we're left with 565.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5650, and continue the process.

After the division, we end up with 111944.828655 and a remainder of 5.65e-05.