413937 ÷ 75 
We're looking to find how many times 75 goes into 413937.

Advancing to step 1:
75 can be fit into 4 0 times, resulting in a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Grab the next digit (1) from the dividend, add it to 4, then carry on: 41 / 75

Step 2:
41 divided by 75 is 0 with a remainder of 41.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 41, we get 41.
Append the next digit (3) from the dividend to 41 and continue with: 413 / 75

Step 3:
413 divided by 75 is 5 with a remainder of 38.
Put 5 as the next digit of the answer. 
Result so far: 5.0
If we take 375 away from 413, we end up with 38.
Append the next digit (9) from the dividend to 38 and continue with: 389 / 75

Advancing to step 4:
389 divided by 75 is 5 with a remainder of 14.
Use 5 as the next digit of our solution. 
Result so far: 55.0
Subtract 375 from 389 to get 14.
Take the next digit (3) from the dividend and append it to 14, then repeat: 143 / 75

Let's proceed to step 5:
75 can be fit into 143 1 times, resulting in a remainder of 68.
Put 1 as the next digit of the answer. 
Result so far: 551.0
If we take 75 away from 143, we end up with 68.
Fetch the next digit (7) from the dividend, attach it to 68 and continue: 687 / 75

Going ahead to step 6:
If we divide 687 by 75, we get 9 and a remainder of 12.
The next digit of our result is 9. 
Result so far: 5519.0
The remainder is 12 after subtracting 675 from 687.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Let's proceed to step 7:
75 goes into 120 1 times with a remainder of 45.
The number 1 becomes the next digit in our result. 
Result so far: 5519.1
Subtracting 75 from 120 leaves us with 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Let's proceed to step 8:
When dividing 450 by 75, we get 6 with a remainder of 0.
The number 6 becomes the next digit in our result. 
Result so far: 5519.16
If we subtract 450 from 450, we get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Step 9:
When dividing 0 by 75, we get 0 with a remainder of 0.
The next digit of our result is 0. 
Result so far: 5519.16
If we take 0 away from 0, we end up with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Advancing to step 10:
When dividing 0 by 75, we get 0 with a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 5519.16
If we take 0 away from 0, we end up with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The quotient of the division is 5519.16, and the remainder is 0.0.