630513 ÷ 41 
We want to figure out the number of times 630513 can be divided by 41.

Advancing to step 1:
41 goes into 6 0 times with a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Take the next digit (3) from the dividend and append it to 6, then repeat: 63 / 41

Moving on to step 2:
41 can be fit into 63 1 times, resulting in a remainder of 22.
Use 1 as the next digit of our solution. 
Result so far: 1.0
The remainder is 22 after subtracting 41 from 63.
Append the next digit (0) from the dividend to 22 and continue with: 220 / 41

Step 3:
The number 41 fits into 220 5 times, leaving a remainder of 15.
Use 5 as the next digit of our solution. 
Result so far: 15.0
Subtracting 205 from 220 leaves us with 15.
Take the next digit (5) from the dividend and append it to 15, then repeat: 155 / 41

Advancing to step 4:
When dividing 155 by 41, we get 3 with a remainder of 32.
Record the quotient 3 as the next digit in the result. 
Result so far: 153.0
Deduct 123 from 155 and we're left with 32.
Grab the next digit (1) from the dividend, add it to 32, then carry on: 321 / 41

Going ahead to step 5:
41 can be fit into 321 7 times, resulting in a remainder of 34.
Use 7 as the next digit of our solution. 
Result so far: 1537.0
Deduct 287 from 321 and we're left with 34.
Fetch the next digit (3) from the dividend, attach it to 34 and continue: 343 / 41

On to step 6:
The number 41 fits into 343 8 times, leaving a remainder of 15.
The number 8 becomes the next digit in our result. 
Result so far: 15378.0
Deduct 328 from 343 and we're left with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Let's proceed to step 7:
41 goes into 150 3 times with a remainder of 27.
The next digit of our result is 3. 
Result so far: 15378.3
If we take 123 away from 150, we end up with 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Step 8:
If we divide 270 by 41, we get 6 and a remainder of 24.
Write down 6 as next digit of the result. 
Result so far: 15378.36
If we take 246 away from 270, 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.

Advancing to step 9:
When dividing 240 by 41, we get 5 with a remainder of 35.
Record the quotient 5 as the next digit in the result. 
Result so far: 15378.365
The remainder is 35 after subtracting 205 from 240.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Let's proceed to step 10:
The number 41 fits into 350 8 times, leaving a remainder of 22.
Record the quotient 8 as the next digit in the result. 
Result so far: 15378.3658
Subtracting 328 from 350 leaves us 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.

Step 11:
If we divide 220 by 41, we get 5 and a remainder of 15.
The next digit of our result is 5. 
Result so far: 15378.36585
Deduct 205 from 220 and we're left with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Advancing to step 12:
150 divided by 41 is 3 with a remainder of 27.
Put 3 as the next digit of the answer. 
Result so far: 15378.365853
If we subtract 123 from 150, we get 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Moving on to step 13:
When dividing 270 by 41, we get 6 with a remainder of 24.
The next digit of our result is 6. 
Result so far: 15378.3658536
Subtracting 246 from 270 leaves us 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.

Let's proceed to step 14:
240 divided by 41 is 5 with a remainder of 35.
The next digit of our result is 5. 
Result so far: 15378.36585365
Deduct 205 from 240 and we're left with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

The final outcome is 15378.36585365, with a leftover of 3.5e-08.