420142 divided by 75 
We want to divide 420142 by 75.

On to step 1:
When dividing 4 by 75, we get 0 with a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Append the next digit (2) from the dividend to 4 and continue with: 42 / 75

Step 2:
75 can be fit into 42 0 times, resulting in a remainder of 42.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 42, we get 42.
Bring next digit (0) of the dividend behind the 42 and repeat the process: 420 / 75

Step 3:
75 can be fit into 420 5 times, resulting in a remainder of 45.
The number 5 becomes the next digit in our result. 
Result so far: 5.0
If we take 375 away from 420, we end up with 45.
Bring next digit (1) of the dividend behind the 45 and repeat the process: 451 / 75

On to step 4:
75 goes into 451 6 times with a remainder of 1.
Use 6 as the next digit of our solution. 
Result so far: 56.0
Subtract 450 from 451 to get 1.
Append the next digit (4) from the dividend to 1 and continue with: 14 / 75

Moving on to step 5:
The number 75 fits into 14 0 times, leaving a remainder of 14.
Put 0 as the next digit of the answer. 
Result so far: 560.0
If we take 0 away from 14, we end up with 14.
Grab the next digit (2) from the dividend, add it to 14, then carry on: 142 / 75

Going ahead to step 6:
75 goes into 142 1 times with a remainder of 67.
Record the quotient 1 as the next digit in the result. 
Result so far: 5601.0
If we take 75 away from 142, we end up with 67.
Since there are no more digits in the dividend, we add a zero to the remainder making it 670, and continue the process.

Moving on to step 7:
670 divided by 75 is 8 with a remainder of 70.
The next digit of our result is 8. 
Result so far: 5601.8
The remainder is 70 after subtracting 600 from 670.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

Advancing to step 8:
When dividing 700 by 75, we get 9 with a remainder of 25.
Use 9 as the next digit of our solution. 
Result so far: 5601.89
Deduct 675 from 700 and we're left with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Advancing to step 9:
75 can be fit into 250 3 times, resulting in a remainder of 25.
The number 3 becomes the next digit in our result. 
Result so far: 5601.893
If we subtract 225 from 250, we get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Moving on to step 10:
250 divided by 75 is 3 with a remainder of 25.
Record the quotient 3 as the next digit in the result. 
Result so far: 5601.8933
Deduct 225 from 250 and we're left with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

The final result is 5601.8933 with a remainder of 0.00025.