34629577 divided by 677 
Our goal is to divide 34629577 by 677.

Let's proceed to step 1:
When dividing 3 by 677, we get 0 with a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Take the next digit (4) from the dividend and append it to 3, then repeat: 34 / 677

On to step 2:
If we divide 34 by 677, we get 0 and a remainder of 34.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 34 and we're left with 34.
Bring next digit (6) of the dividend behind the 34 and repeat the process: 346 / 677

Going ahead to step 3:
If we divide 346 by 677, we get 0 and a remainder of 346.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 346 and we're left with 346.
Include the next digit (2) from the dividend after 346, then repeat: 3462 / 677

Step 4:
3462 divided by 677 is 5 with a remainder of 77.
Use 5 as the next digit of our solution. 
Result so far: 5.0
If we subtract 3385 from 3462, we get 77.
Append the next digit (9) from the dividend to 77 and continue with: 779 / 677

Advancing to step 5:
677 can be fit into 779 1 times, resulting in a remainder of 102.
The number 1 becomes the next digit in our result. 
Result so far: 51.0
If we subtract 677 from 779, we get 102.
Take the next digit (5) from the dividend and append it to 102, then repeat: 1025 / 677

Going ahead to step 6:
1025 divided by 677 is 1 with a remainder of 348.
The number 1 becomes the next digit in our result. 
Result so far: 511.0
If we subtract 677 from 1025, we get 348.
Include the next digit (7) from the dividend after 348, then repeat: 3487 / 677

Going ahead to step 7:
677 can be fit into 3487 5 times, resulting in a remainder of 102.
Put 5 as the next digit of the answer. 
Result so far: 5115.0
If we take 3385 away from 3487, we end up with 102.
Take the next digit (7) from the dividend and append it to 102, then repeat: 1027 / 677

Step 8:
If we divide 1027 by 677, we get 1 and a remainder of 350.
Use 1 as the next digit of our solution. 
Result so far: 51151.0
Deduct 677 from 1027 and we're left with 350.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3500, and continue the process.

Moving on to step 9:
The number 677 fits into 3500 5 times, leaving a remainder of 115.
Record the quotient 5 as the next digit in the result. 
Result so far: 51151.5
Deduct 3385 from 3500 and we're left with 115.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1150, and continue the process.

Going ahead to step 10:
If we divide 1150 by 677, we get 1 and a remainder of 473.
Put 1 as the next digit of the answer. 
Result so far: 51151.51
Subtracting 677 from 1150 leaves us with 473.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4730, and continue the process.

Step 11:
677 goes into 4730 6 times with a remainder of 668.
The next digit of our result is 6. 
Result so far: 51151.516
If we take 4062 away from 4730, we end up with 668.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6680, and continue the process.

Moving on to step 12:
If we divide 6680 by 677, we get 9 and a remainder of 587.
The next digit of our result is 9. 
Result so far: 51151.5169
Deduct 6093 from 6680 and we're left with 587.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5870, and continue the process.

Moving on to step 13:
If we divide 5870 by 677, we get 8 and a remainder of 454.
Put 8 as the next digit of the answer. 
Result so far: 51151.51698
If we take 5416 away from 5870, we end up with 454.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4540, and continue the process.

Step 14:
The number 677 fits into 4540 6 times, leaving a remainder of 478.
Record the quotient 6 as the next digit in the result. 
Result so far: 51151.516986
If we subtract 4062 from 4540, we get 478.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4780, and continue the process.

Advancing to step 15:
The number 677 fits into 4780 7 times, leaving a remainder of 41.
Use 7 as the next digit of our solution. 
Result so far: 51151.5169867
Subtracting 4739 from 4780 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.

Moving on to step 16:
The number 677 fits into 410 0 times, leaving a remainder of 410.
The next digit of our result is 0. 
Result so far: 51151.5169867
If we take 0 away from 410, we end up with 410.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4100, and continue the process.

In conclusion, the division gives 51151.5169867 with a balance of 4.1e-07.