We're dividing 218102 by 42 
We're looking to find how many times 42 goes into 218102.

Moving on to step 1:
42 goes into 2 0 times with a remainder of 2.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 2 to get 2.
Bring next digit (1) of the dividend behind the 2 and repeat the process: 21 / 42

Advancing to step 2:
42 goes into 21 0 times with a remainder of 21.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 21 after subtracting 0 from 21.
Grab the next digit (8) from the dividend, add it to 21, then carry on: 218 / 42

Advancing to step 3:
42 goes into 218 5 times with a remainder of 8.
Use 5 as the next digit of our solution. 
Result so far: 5.0
Subtracting 210 from 218 leaves us with 8.
Grab the next digit (1) from the dividend, add it to 8, then carry on: 81 / 42

Moving on to step 4:
If we divide 81 by 42, we get 1 and a remainder of 39.
Put 1 as the next digit of the answer. 
Result so far: 51.0
Deduct 42 from 81 and we're left with 39.
Grab the next digit (0) from the dividend, add it to 39, then carry on: 390 / 42

Going ahead to step 5:
42 can be fit into 390 9 times, resulting in a remainder of 12.
The number 9 becomes the next digit in our result. 
Result so far: 519.0
The remainder is 12 after subtracting 378 from 390.
Bring next digit (2) of the dividend behind the 12 and repeat the process: 122 / 42

Moving on to step 6:
42 can be fit into 122 2 times, resulting in a remainder of 38.
The number 2 becomes the next digit in our result. 
Result so far: 5192.0
Subtract 84 from 122 to get 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Moving on to step 7:
The number 42 fits into 380 9 times, leaving a remainder of 2.
Write down 9 as next digit of the result. 
Result so far: 5192.9
Subtracting 378 from 380 leaves us with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

On to step 8:
42 can be fit into 20 0 times, resulting in a remainder of 20.
Write down 0 as next digit of the result. 
Result so far: 5192.9
If we take 0 away from 20, we end up with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Step 9:
200 divided by 42 is 4 with a remainder of 32.
Record the quotient 4 as the next digit in the result. 
Result so far: 5192.904
Subtracting 168 from 200 leaves us with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Moving on to step 10:
42 can be fit into 320 7 times, resulting in a remainder of 26.
Record the quotient 7 as the next digit in the result. 
Result so far: 5192.9047
Deduct 294 from 320 and we're left with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Going ahead to step 11:
260 divided by 42 is 6 with a remainder of 8.
Put 6 as the next digit of the answer. 
Result so far: 5192.90476
Subtracting 252 from 260 leaves us with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

On to step 12:
80 divided by 42 is 1 with a remainder of 38.
Record the quotient 1 as the next digit in the result. 
Result so far: 5192.904761
Subtract 42 from 80 to get 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Advancing to step 13:
42 can be fit into 380 9 times, resulting in a remainder of 2.
Record the quotient 9 as the next digit in the result. 
Result so far: 5192.9047619
If we take 378 away from 380, we end up with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Advancing to step 14:
If we divide 20 by 42, we get 0 and a remainder of 20.
Use 0 as the next digit of our solution. 
Result so far: 5192.9047619
If we take 0 away from 20, we end up with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

The final result is 5192.9047619 with a remainder of 2e-08.