214635 ÷ 42 
We're looking to find how many times 42 goes into 214635.

On to step 1:
The number 42 fits into 2 0 times, leaving a remainder of 2.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 2 leaves us with 2.
Grab the next digit (1) from the dividend, add it to 2, then carry on: 21 / 42

Moving on to step 2:
If we divide 21 by 42, we get 0 and a remainder of 21.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 21, we get 21.
Grab the next digit (4) from the dividend, add it to 21, then carry on: 214 / 42

Step 3:
214 divided by 42 is 5 with a remainder of 4.
Write down 5 as next digit of the result. 
Result so far: 5.0
The remainder is 4 after subtracting 210 from 214.
Include the next digit (6) from the dividend after 4, then repeat: 46 / 42

Moving on to step 4:
46 divided by 42 is 1 with a remainder of 4.
Record the quotient 1 as the next digit in the result. 
Result so far: 51.0
Subtracting 42 from 46 leaves us with 4.
Take the next digit (3) from the dividend and append it to 4, then repeat: 43 / 42

Moving on to step 5:
The number 42 fits into 43 1 times, leaving a remainder of 1.
Write down 1 as next digit of the result. 
Result so far: 511.0
The remainder is 1 after subtracting 42 from 43.
Include the next digit (5) from the dividend after 1, then repeat: 15 / 42

Going ahead to step 6:
The number 42 fits into 15 0 times, leaving a remainder of 15.
Use 0 as the next digit of our solution. 
Result so far: 5110.0
The remainder is 15 after subtracting 0 from 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Let's proceed to step 7:
42 goes into 150 3 times with a remainder of 24.
The number 3 becomes the next digit in our result. 
Result so far: 5110.3
Subtract 126 from 150 to get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Moving on to step 8:
When dividing 240 by 42, we get 5 with a remainder of 30.
Record the quotient 5 as the next digit in the result. 
Result so far: 5110.35
If we subtract 210 from 240, we get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Advancing to step 9:
The number 42 fits into 300 7 times, leaving a remainder of 6.
Record the quotient 7 as the next digit in the result. 
Result so far: 5110.357
If we take 294 away from 300, we end up with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Moving on to step 10:
When dividing 60 by 42, we get 1 with a remainder of 18.
The number 1 becomes the next digit in our result. 
Result so far: 5110.3571
Subtracting 42 from 60 leaves us with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

On to step 11:
180 divided by 42 is 4 with a remainder of 12.
The number 4 becomes the next digit in our result. 
Result so far: 5110.35714
The remainder is 12 after subtracting 168 from 180.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

On to step 12:
42 goes into 120 2 times with a remainder of 36.
The number 2 becomes the next digit in our result. 
Result so far: 5110.357142
If we subtract 84 from 120, we get 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Advancing to step 13:
42 can be fit into 360 8 times, resulting in a remainder of 24.
Use 8 as the next digit of our solution. 
Result so far: 5110.3571428
If we subtract 336 from 360, we get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Going ahead to step 14:
If we divide 240 by 42, we get 5 and a remainder of 30.
Put 5 as the next digit of the answer. 
Result so far: 5110.35714285
Subtracting 210 from 240 leaves us 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.

The final result is 5110.35714285 with a remainder of 3e-08.