Let's divide 5005597 by 677
We want to divide 5005597 by 677.

Advancing to step 1:
677 goes into 5 0 times with a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Bring next digit (0) of the dividend behind the 5 and repeat the process: 50 / 677

Step 2:
677 goes into 50 0 times with a remainder of 50.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 50, we end up with 50.
Include the next digit (0) from the dividend after 50, then repeat: 500 / 677

Let's proceed to step 3:
If we divide 500 by 677, we get 0 and a remainder of 500.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 500 after subtracting 0 from 500.
Grab the next digit (5) from the dividend, add it to 500, then carry on: 5005 / 677

Moving on to step 4:
When dividing 5005 by 677, we get 7 with a remainder of 266.
The number 7 becomes the next digit in our result. 
Result so far: 7.0
If we take 4739 away from 5005, we end up with 266.
Grab the next digit (5) from the dividend, add it to 266, then carry on: 2665 / 677

On to step 5:
677 can be fit into 2665 3 times, resulting in a remainder of 634.
Put 3 as the next digit of the answer. 
Result so far: 73.0
Deduct 2031 from 2665 and we're left with 634.
Bring next digit (9) of the dividend behind the 634 and repeat the process: 6349 / 677

Moving on to step 6:
6349 divided by 677 is 9 with a remainder of 256.
Use 9 as the next digit of our solution. 
Result so far: 739.0
Subtracting 6093 from 6349 leaves us with 256.
Fetch the next digit (7) from the dividend, attach it to 256 and continue: 2567 / 677

Advancing to step 7:
677 can be fit into 2567 3 times, resulting in a remainder of 536.
Put 3 as the next digit of the answer. 
Result so far: 7393.0
Deduct 2031 from 2567 and we're left with 536.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5360, and continue the process.

On to step 8:
The number 677 fits into 5360 7 times, leaving a remainder of 621.
Write down 7 as next digit of the result. 
Result so far: 7393.7
If we subtract 4739 from 5360, we get 621.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6210, and continue the process.

Step 9:
6210 divided by 677 is 9 with a remainder of 117.
Use 9 as the next digit of our solution. 
Result so far: 7393.79
Deduct 6093 from 6210 and we're left with 117.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1170, and continue the process.

Going ahead to step 10:
677 can be fit into 1170 1 times, resulting in a remainder of 493.
Use 1 as the next digit of our solution. 
Result so far: 7393.791
The remainder is 493 after subtracting 677 from 1170.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4930, and continue the process.

Let's proceed to step 11:
When dividing 4930 by 677, we get 7 with a remainder of 191.
Record the quotient 7 as the next digit in the result. 
Result so far: 7393.7917
Subtract 4739 from 4930 to get 191.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1910, and continue the process.

Going ahead to step 12:
The number 677 fits into 1910 2 times, leaving a remainder of 556.
Put 2 as the next digit of the answer. 
Result so far: 7393.79172
If we take 1354 away from 1910, we end up with 556.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5560, and continue the process.

Going ahead to step 13:
5560 divided by 677 is 8 with a remainder of 144.
Put 8 as the next digit of the answer. 
Result so far: 7393.791728
The remainder is 144 after subtracting 5416 from 5560.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1440, and continue the process.

Step 14:
If we divide 1440 by 677, we get 2 and a remainder of 86.
Use 2 as the next digit of our solution. 
Result so far: 7393.7917282
The remainder is 86 after subtracting 1354 from 1440.
Since there are no more digits in the dividend, we add a zero to the remainder making it 860, and continue the process.

Going ahead to step 15:
The number 677 fits into 860 1 times, leaving a remainder of 183.
The next digit of our result is 1. 
Result so far: 7393.79172821
If we subtract 677 from 860, we get 183.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1830, and continue the process.

In conclusion, the division gives 7393.79172821 with a balance of 1.83e-07.