We look at the division of 34624 by 42 
Let's see how many times 42 fits into 34624.

Moving on to step 1:
When dividing 3 by 42, we get 0 with a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Grab the next digit (4) from the dividend, add it to 3, then carry on: 34 / 42

Moving on to step 2:
34 divided by 42 is 0 with a remainder of 34.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 34 after subtracting 0 from 34.
Fetch the next digit (6) from the dividend, attach it to 34 and continue: 346 / 42

Step 3:
42 can be fit into 346 8 times, resulting in a remainder of 10.
Record the quotient 8 as the next digit in the result. 
Result so far: 8.0
Subtracting 336 from 346 leaves us with 10.
Bring next digit (2) of the dividend behind the 10 and repeat the process: 102 / 42

Step 4:
42 goes into 102 2 times with a remainder of 18.
Record the quotient 2 as the next digit in the result. 
Result so far: 82.0
Subtract 84 from 102 to get 18.
Take the next digit (4) from the dividend and append it to 18, then repeat: 184 / 42

Going ahead to step 5:
42 goes into 184 4 times with a remainder of 16.
The next digit of our result is 4. 
Result so far: 824.0
If we subtract 168 from 184, we get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Step 6:
42 can be fit into 160 3 times, resulting in a remainder of 34.
Put 3 as the next digit of the answer. 
Result so far: 824.3
If we subtract 126 from 160, we get 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Let's proceed to step 7:
The number 42 fits into 340 8 times, leaving a remainder of 4.
Record the quotient 8 as the next digit in the result. 
Result so far: 824.38
The remainder is 4 after subtracting 336 from 340.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Moving on to step 8:
The number 42 fits into 40 0 times, leaving a remainder of 40.
The next digit of our result is 0. 
Result so far: 824.38
The remainder is 40 after subtracting 0 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

On to step 9:
400 divided by 42 is 9 with a remainder of 22.
The number 9 becomes the next digit in our result. 
Result so far: 824.3809
Deduct 378 from 400 and we're left with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Step 10:
When dividing 220 by 42, we get 5 with a remainder of 10.
Use 5 as the next digit of our solution. 
Result so far: 824.38095
The remainder is 10 after subtracting 210 from 220.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 11:
If we divide 100 by 42, we get 2 and a remainder of 16.
Put 2 as the next digit of the answer. 
Result so far: 824.380952
If we take 84 away from 100, we end up with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Let's proceed to step 12:
42 goes into 160 3 times with a remainder of 34.
The number 3 becomes the next digit in our result. 
Result so far: 824.3809523
If we take 126 away from 160, we end up with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Advancing to step 13:
If we divide 340 by 42, we get 8 and a remainder of 4.
Put 8 as the next digit of the answer. 
Result so far: 824.38095238
Subtracting 336 from 340 leaves us with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Our division results in 824.38095238 with a remaining 4e-09.