We're dividing 213465 by 63 
Our goal is to divide 213465 by 63.

Advancing to step 1:
When dividing 2 by 63, we get 0 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.
Grab the next digit (1) from the dividend, add it to 2, then carry on: 21 / 63

Moving on to step 2:
The number 63 fits into 21 0 times, leaving a remainder of 21.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 21 and we're left with 21.
Include the next digit (3) from the dividend after 21, then repeat: 213 / 63

Moving on to step 3:
If we divide 213 by 63, we get 3 and a remainder of 24.
Use 3 as the next digit of our solution. 
Result so far: 3.0
Subtracting 189 from 213 leaves us with 24.
Grab the next digit (4) from the dividend, add it to 24, then carry on: 244 / 63

Moving on to step 4:
63 goes into 244 3 times with a remainder of 55.
The number 3 becomes the next digit in our result. 
Result so far: 33.0
If we subtract 189 from 244, we get 55.
Bring next digit (6) of the dividend behind the 55 and repeat the process: 556 / 63

Step 5:
If we divide 556 by 63, we get 8 and a remainder of 52.
Put 8 as the next digit of the answer. 
Result so far: 338.0
Subtracting 504 from 556 leaves us with 52.
Append the next digit (5) from the dividend to 52 and continue with: 525 / 63

Step 6:
When dividing 525 by 63, we get 8 with a remainder of 21.
The next digit of our result is 8. 
Result so far: 3388.0
If we subtract 504 from 525, we get 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Let's proceed to step 7:
63 goes into 210 3 times with a remainder of 21.
Write down 3 as next digit of the result. 
Result so far: 3388.3
Deduct 189 from 210 and we're left with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Moving on to step 8:
63 can be fit into 210 3 times, resulting in a remainder of 21.
The number 3 becomes the next digit in our result. 
Result so far: 3388.33
If we take 189 away from 210, we end up with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Our division results in 3388.33 with a remaining 0.021.