363343 divided by 60 
Our goal is to divide 363343 by 60.

Let's proceed to step 1:
When dividing 3 by 60, we get 0 with a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Take the next digit (6) from the dividend and append it to 3, then repeat: 36 / 60

Going ahead to step 2:
36 divided by 60 is 0 with a remainder of 36.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 36 leaves us with 36.
Take the next digit (3) from the dividend and append it to 36, then repeat: 363 / 60

Let's proceed to step 3:
If we divide 363 by 60, we get 6 and a remainder of 3.
Use 6 as the next digit of our solution. 
Result so far: 6.0
If we take 360 away from 363, we end up with 3.
Append the next digit (3) from the dividend to 3 and continue with: 33 / 60

Step 4:
When dividing 33 by 60, we get 0 with a remainder of 33.
Put 0 as the next digit of the answer. 
Result so far: 60.0
The remainder is 33 after subtracting 0 from 33.
Fetch the next digit (4) from the dividend, attach it to 33 and continue: 334 / 60

Step 5:
60 goes into 334 5 times with a remainder of 34.
The next digit of our result is 5. 
Result so far: 605.0
Deduct 300 from 334 and we're left with 34.
Append the next digit (3) from the dividend to 34 and continue with: 343 / 60

Step 6:
60 can be fit into 343 5 times, resulting in a remainder of 43.
The number 5 becomes the next digit in our result. 
Result so far: 6055.0
Deduct 300 from 343 and we're left with 43.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

On to step 7:
430 divided by 60 is 7 with a remainder of 10.
Write down 7 as next digit of the result. 
Result so far: 6055.7
Deduct 420 from 430 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 8:
If we divide 100 by 60, we get 1 and a remainder of 40.
Record the quotient 1 as the next digit in the result. 
Result so far: 6055.71
If we take 60 away from 100, we end up with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Advancing to step 9:
60 goes into 400 6 times with a remainder of 40.
Write down 6 as next digit of the result. 
Result so far: 6055.716
If we subtract 360 from 400, we get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Step 10:
The number 60 fits into 400 6 times, leaving a remainder of 40.
Use 6 as the next digit of our solution. 
Result so far: 6055.7166
Subtract 360 from 400 to get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

After the division, we end up with 6055.7166 and a remainder of 0.0004.