We're dividing 41377825 by 514 
We want to figure out the number of times 41377825 can be divided by 514.

Step 1:
514 goes into 4 0 times with a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Include the next digit (1) from the dividend after 4, then repeat: 41 / 514

Moving on to step 2:
If we divide 41 by 514, we get 0 and a remainder of 41.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 41, we end up with 41.
Append the next digit (3) from the dividend to 41 and continue with: 413 / 514

Going ahead to step 3:
The number 514 fits into 413 0 times, leaving a remainder of 413.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 413 and we're left with 413.
Bring next digit (7) of the dividend behind the 413 and repeat the process: 4137 / 514

On to step 4:
The number 514 fits into 4137 8 times, leaving a remainder of 25.
The number 8 becomes the next digit in our result. 
Result so far: 8.0
Deduct 4112 from 4137 and we're left with 25.
Grab the next digit (7) from the dividend, add it to 25, then carry on: 257 / 514

Advancing to step 5:
When dividing 257 by 514, we get 0 with a remainder of 257.
The number 0 becomes the next digit in our result. 
Result so far: 80.0
If we take 0 away from 257, we end up with 257.
Append the next digit (8) from the dividend to 257 and continue with: 2578 / 514

Moving on to step 6:
2578 divided by 514 is 5 with a remainder of 8.
The number 5 becomes the next digit in our result. 
Result so far: 805.0
Deduct 2570 from 2578 and we're left with 8.
Bring next digit (2) of the dividend behind the 8 and repeat the process: 82 / 514

Going ahead to step 7:
The number 514 fits into 82 0 times, leaving a remainder of 82.
Use 0 as the next digit of our solution. 
Result so far: 8050.0
Subtract 0 from 82 to get 82.
Append the next digit (5) from the dividend to 82 and continue with: 825 / 514

Let's proceed to step 8:
When dividing 825 by 514, we get 1 with a remainder of 311.
The number 1 becomes the next digit in our result. 
Result so far: 80501.0
Deduct 514 from 825 and we're left with 311.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3110, and continue the process.

Moving on to step 9:
When dividing 3110 by 514, we get 6 with a remainder of 26.
The next digit of our result is 6. 
Result so far: 80501.6
Subtract 3084 from 3110 to get 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Advancing to step 10:
514 goes into 260 0 times with a remainder of 260.
Write down 0 as next digit of the result. 
Result so far: 80501.6
Subtracting 0 from 260 leaves us with 260.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2600, and continue the process.

Let's proceed to step 11:
514 can be fit into 2600 5 times, resulting in a remainder of 30.
Write down 5 as next digit of the result. 
Result so far: 80501.605
If we take 2570 away from 2600, we end up with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Going ahead to step 12:
300 divided by 514 is 0 with a remainder of 300.
Record the quotient 0 as the next digit in the result. 
Result so far: 80501.605
Subtract 0 from 300 to get 300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3000, and continue the process.

On to step 13:
When dividing 3000 by 514, we get 5 with a remainder of 430.
Put 5 as the next digit of the answer. 
Result so far: 80501.60505
If we take 2570 away from 3000, we end up with 430.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4300, and continue the process.

Going ahead to step 14:
When dividing 4300 by 514, we get 8 with a remainder of 188.
Put 8 as the next digit of the answer. 
Result so far: 80501.605058
Subtract 4112 from 4300 to get 188.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1880, and continue the process.

On to step 15:
When dividing 1880 by 514, we get 3 with a remainder of 338.
The next digit of our result is 3. 
Result so far: 80501.6050583
If we subtract 1542 from 1880, we get 338.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3380, and continue the process.

Advancing to step 16:
If we divide 3380 by 514, we get 6 and a remainder of 296.
Write down 6 as next digit of the result. 
Result so far: 80501.60505836
Subtract 3084 from 3380 to get 296.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2960, and continue the process.

In conclusion, the division gives 80501.60505836 with a balance of 2.96e-07.