We're dividing 401682 by 75 
We're looking to find how many times 75 goes into 401682.

Step 1:
75 can be fit into 4 0 times, resulting in a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Fetch the next digit (0) from the dividend, attach it to 4 and continue: 40 / 75

Let's proceed to step 2:
When dividing 40 by 75, we get 0 with a remainder of 40.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 40, we end up with 40.
Append the next digit (1) from the dividend to 40 and continue with: 401 / 75

Step 3:
75 can be fit into 401 5 times, resulting in a remainder of 26.
The number 5 becomes the next digit in our result. 
Result so far: 5.0
Subtract 375 from 401 to get 26.
Append the next digit (6) from the dividend to 26 and continue with: 266 / 75

Advancing to step 4:
75 can be fit into 266 3 times, resulting in a remainder of 41.
Use 3 as the next digit of our solution. 
Result so far: 53.0
The remainder is 41 after subtracting 225 from 266.
Append the next digit (8) from the dividend to 41 and continue with: 418 / 75

Going ahead to step 5:
418 divided by 75 is 5 with a remainder of 43.
Record the quotient 5 as the next digit in the result. 
Result so far: 535.0
Subtract 375 from 418 to get 43.
Bring next digit (2) of the dividend behind the 43 and repeat the process: 432 / 75

Moving on to step 6:
432 divided by 75 is 5 with a remainder of 57.
Use 5 as the next digit of our solution. 
Result so far: 5355.0
Subtract 375 from 432 to get 57.
Since there are no more digits in the dividend, we add a zero to the remainder making it 570, and continue the process.

Advancing to step 7:
When dividing 570 by 75, we get 7 with a remainder of 45.
Put 7 as the next digit of the answer. 
Result so far: 5355.7
The remainder is 45 after subtracting 525 from 570.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

On to step 8:
If we divide 450 by 75, we get 6 and a remainder of 0.
Record the quotient 6 as the next digit in the result. 
Result so far: 5355.76
If we take 450 away from 450, 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.

Moving on to step 9:
75 can be fit into 0 0 times, resulting in a remainder of 0.
The next digit of our result is 0. 
Result so far: 5355.76
Deduct 0 from 0 and we're left 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:
0 divided by 75 is 0 with a remainder of 0.
The next digit of our result is 0. 
Result so far: 5355.76
The remainder is 0 after subtracting 0 from 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 5355.76, and the remainder is 0.0.