Let's divide 84134 by 38
Our goal is to divide 84134 by 38.

Going ahead to step 1:
38 can be fit into 8 0 times, resulting in a remainder of 8.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 8, we get 8.
Grab the next digit (4) from the dividend, add it to 8, then carry on: 84 / 38

Step 2:
84 divided by 38 is 2 with a remainder of 8.
The next digit of our result is 2. 
Result so far: 2.0
Deduct 76 from 84 and we're left with 8.
Include the next digit (1) from the dividend after 8, then repeat: 81 / 38

Going ahead to step 3:
38 can be fit into 81 2 times, resulting in a remainder of 5.
The next digit of our result is 2. 
Result so far: 22.0
If we take 76 away from 81, we end up with 5.
Take the next digit (3) from the dividend and append it to 5, then repeat: 53 / 38

Moving on to step 4:
If we divide 53 by 38, we get 1 and a remainder of 15.
Record the quotient 1 as the next digit in the result. 
Result so far: 221.0
If we subtract 38 from 53, we get 15.
Take the next digit (4) from the dividend and append it to 15, then repeat: 154 / 38

Let's proceed to step 5:
If we divide 154 by 38, we get 4 and a remainder of 2.
Put 4 as the next digit of the answer. 
Result so far: 2214.0
If we subtract 152 from 154, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Going ahead to step 6:
When dividing 20 by 38, we get 0 with a remainder of 20.
The number 0 becomes the next digit in our result. 
Result so far: 2214.0
If we subtract 0 from 20, we get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

On to step 7:
38 goes into 200 5 times with a remainder of 10.
Write down 5 as next digit of the result. 
Result so far: 2214.05
Subtract 190 from 200 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 8:
The number 38 fits into 100 2 times, leaving a remainder of 24.
Use 2 as the next digit of our solution. 
Result so far: 2214.052
If we take 76 away from 100, we end up with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Step 9:
240 divided by 38 is 6 with a remainder of 12.
The number 6 becomes the next digit in our result. 
Result so far: 2214.0526
The remainder is 12 after subtracting 228 from 240.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Step 10:
If we divide 120 by 38, we get 3 and a remainder of 6.
The next digit of our result is 3. 
Result so far: 2214.05263
Deduct 114 from 120 and we're left 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.

Advancing to step 11:
38 can be fit into 60 1 times, resulting in a remainder of 22.
Use 1 as the next digit of our solution. 
Result so far: 2214.052631
If we take 38 away from 60, we end up 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.

Advancing to step 12:
The number 38 fits into 220 5 times, leaving a remainder of 30.
The number 5 becomes the next digit in our result. 
Result so far: 2214.0526315
Deduct 190 from 220 and we're left 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.

Going ahead to step 13:
The number 38 fits into 300 7 times, leaving a remainder of 34.
The number 7 becomes the next digit in our result. 
Result so far: 2214.05263157
Subtracting 266 from 300 leaves us 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.

Our division results in 2214.05263157 with a remaining 3.4e-08.