41414210 ÷ 677 
Let's see how many times 677 fits into 41414210.

On to step 1:
If we divide 4 by 677, we get 0 and a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Take the next digit (1) from the dividend and append it to 4, then repeat: 41 / 677

Let's proceed to step 2:
If we divide 41 by 677, we get 0 and a remainder of 41.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 41 after subtracting 0 from 41.
Append the next digit (4) from the dividend to 41 and continue with: 414 / 677

On to step 3:
If we divide 414 by 677, we get 0 and a remainder of 414.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 414 and we're left with 414.
Take the next digit (1) from the dividend and append it to 414, then repeat: 4141 / 677

Going ahead to step 4:
677 goes into 4141 6 times with a remainder of 79.
Put 6 as the next digit of the answer. 
Result so far: 6.0
If we take 4062 away from 4141, we end up with 79.
Grab the next digit (4) from the dividend, add it to 79, then carry on: 794 / 677

Step 5:
677 goes into 794 1 times with a remainder of 117.
The number 1 becomes the next digit in our result. 
Result so far: 61.0
If we take 677 away from 794, we end up with 117.
Grab the next digit (2) from the dividend, add it to 117, then carry on: 1172 / 677

Let's proceed to step 6:
If we divide 1172 by 677, we get 1 and a remainder of 495.
Put 1 as the next digit of the answer. 
Result so far: 611.0
Deduct 677 from 1172 and we're left with 495.
Include the next digit (1) from the dividend after 495, then repeat: 4951 / 677

Moving on to step 7:
677 goes into 4951 7 times with a remainder of 212.
Put 7 as the next digit of the answer. 
Result so far: 6117.0
Deduct 4739 from 4951 and we're left with 212.
Take the next digit (0) from the dividend and append it to 212, then repeat: 2120 / 677

On to step 8:
When dividing 2120 by 677, we get 3 with a remainder of 89.
Record the quotient 3 as the next digit in the result. 
Result so far: 61173.0
Deduct 2031 from 2120 and we're left with 89.
Since there are no more digits in the dividend, we add a zero to the remainder making it 890, and continue the process.

On to step 9:
677 can be fit into 890 1 times, resulting in a remainder of 213.
The next digit of our result is 1. 
Result so far: 61173.1
If we take 677 away from 890, we end up with 213.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2130, and continue the process.

Step 10:
677 can be fit into 2130 3 times, resulting in a remainder of 99.
Put 3 as the next digit of the answer. 
Result so far: 61173.13
Subtract 2031 from 2130 to get 99.
Since there are no more digits in the dividend, we add a zero to the remainder making it 990, and continue the process.

Moving on to step 11:
If we divide 990 by 677, we get 1 and a remainder of 313.
The number 1 becomes the next digit in our result. 
Result so far: 61173.131
If we take 677 away from 990, we end up with 313.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3130, and continue the process.

Going ahead to step 12:
677 can be fit into 3130 4 times, resulting in a remainder of 422.
Put 4 as the next digit of the answer. 
Result so far: 61173.1314
The remainder is 422 after subtracting 2708 from 3130.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4220, and continue the process.

Going ahead to step 13:
4220 divided by 677 is 6 with a remainder of 158.
Use 6 as the next digit of our solution. 
Result so far: 61173.13146
The remainder is 158 after subtracting 4062 from 4220.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1580, and continue the process.

On to step 14:
1580 divided by 677 is 2 with a remainder of 226.
Put 2 as the next digit of the answer. 
Result so far: 61173.131462
The remainder is 226 after subtracting 1354 from 1580.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2260, and continue the process.

On to step 15:
When dividing 2260 by 677, we get 3 with a remainder of 229.
Write down 3 as next digit of the result. 
Result so far: 61173.1314623
Deduct 2031 from 2260 and we're left with 229.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2290, and continue the process.

Moving on to step 16:
When dividing 2290 by 677, we get 3 with a remainder of 259.
The number 3 becomes the next digit in our result. 
Result so far: 61173.13146233
Subtracting 2031 from 2290 leaves us with 259.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2590, and continue the process.

The final outcome is 61173.13146233, with a leftover of 2.59e-07.