We're dividing 361181 by 63 
We want to figure out the number of times 361181 can be divided by 63.

Step 1:
63 can be fit into 3 0 times, resulting in a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 3 to get 3.
Fetch the next digit (6) from the dividend, attach it to 3 and continue: 36 / 63

Step 2:
The number 63 fits into 36 0 times, leaving a remainder of 36.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 36 after subtracting 0 from 36.
Fetch the next digit (1) from the dividend, attach it to 36 and continue: 361 / 63

Going ahead to step 3:
63 can be fit into 361 5 times, resulting in a remainder of 46.
Record the quotient 5 as the next digit in the result. 
Result so far: 5.0
If we take 315 away from 361, we end up with 46.
Fetch the next digit (1) from the dividend, attach it to 46 and continue: 461 / 63

Advancing to step 4:
63 goes into 461 7 times with a remainder of 20.
Use 7 as the next digit of our solution. 
Result so far: 57.0
Subtract 441 from 461 to get 20.
Fetch the next digit (8) from the dividend, attach it to 20 and continue: 208 / 63

Let's proceed to step 5:
63 can be fit into 208 3 times, resulting in a remainder of 19.
The number 3 becomes the next digit in our result. 
Result so far: 573.0
If we subtract 189 from 208, we get 19.
Include the next digit (1) from the dividend after 19, then repeat: 191 / 63

Moving on to step 6:
191 divided by 63 is 3 with a remainder of 2.
Record the quotient 3 as the next digit in the result. 
Result so far: 5733.0
Deduct 189 from 191 and we're left 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 7:
63 goes into 20 0 times with a remainder of 20.
Write down 0 as next digit of the result. 
Result so far: 5733.0
The remainder is 20 after subtracting 0 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Moving on to step 8:
63 can be fit into 200 3 times, resulting in a remainder of 11.
Use 3 as the next digit of our solution. 
Result so far: 5733.03
Subtract 189 from 200 to get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Moving on to step 9:
110 divided by 63 is 1 with a remainder of 47.
The next digit of our result is 1. 
Result so far: 5733.031
The remainder is 47 after subtracting 63 from 110.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

Step 10:
If we divide 470 by 63, we get 7 and a remainder of 29.
Put 7 as the next digit of the answer. 
Result so far: 5733.0317
If we subtract 441 from 470, we get 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

On to step 11:
290 divided by 63 is 4 with a remainder of 38.
The next digit of our result is 4. 
Result so far: 5733.03174
Subtracting 252 from 290 leaves us with 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 12:
63 can be fit into 380 6 times, resulting in a remainder of 2.
Use 6 as the next digit of our solution. 
Result so far: 5733.031746
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.

Let's proceed to step 13:
20 divided by 63 is 0 with a remainder of 20.
Write down 0 as next digit of the result. 
Result so far: 5733.031746
Deduct 0 from 20 and we're left 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.

On to step 14:
200 divided by 63 is 3 with a remainder of 11.
Use 3 as the next digit of our solution. 
Result so far: 5733.03174603
If we subtract 189 from 200, we get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

In conclusion, the division gives 5733.03174603 with a balance of 1.1e-08.