We're dividing 225301 by 67 
We want to divide 225301 by 67.

Advancing to step 1:
When dividing 2 by 67, we get 0 with 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.
Include the next digit (2) from the dividend after 2, then repeat: 22 / 67

Going ahead to step 2:
67 can be fit into 22 0 times, resulting in a remainder of 22.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 22 leaves us with 22.
Bring next digit (5) of the dividend behind the 22 and repeat the process: 225 / 67

Advancing to step 3:
225 divided by 67 is 3 with a remainder of 24.
Use 3 as the next digit of our solution. 
Result so far: 3.0
Deduct 201 from 225 and we're left with 24.
Take the next digit (3) from the dividend and append it to 24, then repeat: 243 / 67

Step 4:
243 divided by 67 is 3 with a remainder of 42.
Write down 3 as next digit of the result. 
Result so far: 33.0
If we subtract 201 from 243, we get 42.
Bring next digit (0) of the dividend behind the 42 and repeat the process: 420 / 67

Moving on to step 5:
420 divided by 67 is 6 with a remainder of 18.
The number 6 becomes the next digit in our result. 
Result so far: 336.0
Subtracting 402 from 420 leaves us with 18.
Take the next digit (1) from the dividend and append it to 18, then repeat: 181 / 67

Advancing to step 6:
67 goes into 181 2 times with a remainder of 47.
Use 2 as the next digit of our solution. 
Result so far: 3362.0
Subtracting 134 from 181 leaves us with 47.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

Going ahead to step 7:
470 divided by 67 is 7 with a remainder of 1.
Use 7 as the next digit of our solution. 
Result so far: 3362.7
Subtracting 469 from 470 leaves us with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

On to step 8:
67 can be fit into 10 0 times, resulting in a remainder of 10.
The next digit of our result is 0. 
Result so far: 3362.7
If we subtract 0 from 10, we 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 9:
67 goes into 100 1 times with a remainder of 33.
Use 1 as the next digit of our solution. 
Result so far: 3362.701
Deduct 67 from 100 and we're left with 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Step 10:
When dividing 330 by 67, we get 4 with a remainder of 62.
Write down 4 as next digit of the result. 
Result so far: 3362.7014
Subtract 268 from 330 to get 62.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

Let's proceed to step 11:
When dividing 620 by 67, we get 9 with a remainder of 17.
Put 9 as the next digit of the answer. 
Result so far: 3362.70149
Subtracting 603 from 620 leaves us with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Going ahead to step 12:
When dividing 170 by 67, we get 2 with a remainder of 36.
Write down 2 as next digit of the result. 
Result so far: 3362.701492
The remainder is 36 after subtracting 134 from 170.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Going ahead to step 13:
360 divided by 67 is 5 with a remainder of 25.
Record the quotient 5 as the next digit in the result. 
Result so far: 3362.7014925
If we subtract 335 from 360, 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.

Let's proceed to step 14:
250 divided by 67 is 3 with a remainder of 49.
The next digit of our result is 3. 
Result so far: 3362.70149253
Deduct 201 from 250 and we're left with 49.
Since there are no more digits in the dividend, we add a zero to the remainder making it 490, and continue the process.

After the division, we end up with 3362.70149253 and a remainder of 4.9e-08.