We look at the division of 341265 by 63 
Let's see how many times 63 fits into 341265.

Step 1:
3 divided by 63 is 0 with a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 3, we get 3.
Fetch the next digit (4) from the dividend, attach it to 3 and continue: 34 / 63

Let's proceed to step 2:
63 goes into 34 0 times with a remainder of 34.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 34 after subtracting 0 from 34.
Append the next digit (1) from the dividend to 34 and continue with: 341 / 63

On to step 3:
63 can be fit into 341 5 times, resulting in a remainder of 26.
Use 5 as the next digit of our solution. 
Result so far: 5.0
Subtracting 315 from 341 leaves us with 26.
Append the next digit (2) from the dividend to 26 and continue with: 262 / 63

Advancing to step 4:
The number 63 fits into 262 4 times, leaving a remainder of 10.
Use 4 as the next digit of our solution. 
Result so far: 54.0
Deduct 252 from 262 and we're left with 10.
Fetch the next digit (6) from the dividend, attach it to 10 and continue: 106 / 63

Moving on to step 5:
106 divided by 63 is 1 with a remainder of 43.
Use 1 as the next digit of our solution. 
Result so far: 541.0
If we subtract 63 from 106, we get 43.
Append the next digit (5) from the dividend to 43 and continue with: 435 / 63

Let's proceed to step 6:
63 can be fit into 435 6 times, resulting in a remainder of 57.
Use 6 as the next digit of our solution. 
Result so far: 5416.0
If we take 378 away from 435, we end up with 57.
Since there are no more digits in the dividend, we add a zero to the remainder making it 570, and continue the process.

Step 7:
570 divided by 63 is 9 with a remainder of 3.
Use 9 as the next digit of our solution. 
Result so far: 5416.9
Subtract 567 from 570 to get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

On to step 8:
When dividing 30 by 63, we get 0 with a remainder of 30.
Record the quotient 0 as the next digit in the result. 
Result so far: 5416.9
Subtract 0 from 30 to 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.

Moving on to step 9:
When dividing 300 by 63, we get 4 with a remainder of 48.
Record the quotient 4 as the next digit in the result. 
Result so far: 5416.904
The remainder is 48 after subtracting 252 from 300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Advancing to step 10:
63 goes into 480 7 times with a remainder of 39.
Put 7 as the next digit of the answer. 
Result so far: 5416.9047
If we subtract 441 from 480, we get 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Advancing to step 11:
63 goes into 390 6 times with a remainder of 12.
The number 6 becomes the next digit in our result. 
Result so far: 5416.90476
Subtracting 378 from 390 leaves us with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Moving on to step 12:
120 divided by 63 is 1 with a remainder of 57.
Put 1 as the next digit of the answer. 
Result so far: 5416.904761
If we subtract 63 from 120, we get 57.
Since there are no more digits in the dividend, we add a zero to the remainder making it 570, and continue the process.

Step 13:
63 goes into 570 9 times with a remainder of 3.
The next digit of our result is 9. 
Result so far: 5416.9047619
Subtract 567 from 570 to get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Moving on to step 14:
When dividing 30 by 63, we get 0 with a remainder of 30.
The next digit of our result is 0. 
Result so far: 5416.9047619
Deduct 0 from 30 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.

Our division results in 5416.9047619 with a remaining 3e-08.