We're dividing 502641 by 94 
We want to figure out the number of times 502641 can be divided by 94.

Advancing to step 1:
If we divide 5 by 94, we get 0 and a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Grab the next digit (0) from the dividend, add it to 5, then carry on: 50 / 94

Step 2:
If we divide 50 by 94, we get 0 and a remainder of 50.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 50, we get 50.
Take the next digit (2) from the dividend and append it to 50, then repeat: 502 / 94

Advancing to step 3:
When dividing 502 by 94, we get 5 with a remainder of 32.
The number 5 becomes the next digit in our result. 
Result so far: 5.0
Subtracting 470 from 502 leaves us with 32.
Append the next digit (6) from the dividend to 32 and continue with: 326 / 94

Moving on to step 4:
If we divide 326 by 94, we get 3 and a remainder of 44.
The number 3 becomes the next digit in our result. 
Result so far: 53.0
The remainder is 44 after subtracting 282 from 326.
Append the next digit (4) from the dividend to 44 and continue with: 444 / 94

Let's proceed to step 5:
When dividing 444 by 94, we get 4 with a remainder of 68.
Record the quotient 4 as the next digit in the result. 
Result so far: 534.0
Subtract 376 from 444 to get 68.
Fetch the next digit (1) from the dividend, attach it to 68 and continue: 681 / 94

Advancing to step 6:
The number 94 fits into 681 7 times, leaving a remainder of 23.
Record the quotient 7 as the next digit in the result. 
Result so far: 5347.0
If we subtract 658 from 681, we get 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Moving on to step 7:
If we divide 230 by 94, we get 2 and a remainder of 42.
Use 2 as the next digit of our solution. 
Result so far: 5347.2
If we take 188 away from 230, we end up with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Moving on to step 8:
94 goes into 420 4 times with a remainder of 44.
Record the quotient 4 as the next digit in the result. 
Result so far: 5347.24
If we subtract 376 from 420, we get 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Going ahead to step 9:
94 goes into 440 4 times with a remainder of 64.
Record the quotient 4 as the next digit in the result. 
Result so far: 5347.244
Subtract 376 from 440 to get 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

The quotient of the division is 5347.244, and the remainder is 0.0064.