62023 ÷ 6 = 10337 R1
Alright, let's work through the division of 62023 by 6 step by step.

Step 1:
6 goes into 6 1 times with a remainder of 0.
Write down 1 as next digit of of the result. 
Result so far: 1
Subtract 6 from 6 to get 0.
Bring next digit (2) of the dividend behind the 0 and repeat the process: 2 / 6

Step 2:
6 goes into 2 0 times with a remainder of 2.
Write down 0 as next digit of of the result. 
Result so far: 10
Subtract 0 from 2 to get 2.
Bring next digit (0) of the dividend behind the 2 and repeat the process: 20 / 6

Step 3:
6 goes into 20 3 times with a remainder of 2.
Write down 3 as next digit of of the result. 
Result so far: 103
Subtract 18 from 20 to get 2.
Bring next digit (2) of the dividend behind the 2 and repeat the process: 22 / 6

Step 4:
6 goes into 22 3 times with a remainder of 4.
Write down 3 as next digit of of the result. 
Result so far: 1033
Subtract 18 from 22 to get 4.
Bring next digit (3) of the dividend behind the 4 and repeat the process: 43 / 6

Step 5:
6 goes into 43 7 times with a remainder of 1.
Write down 7 as next digit of of the result. 
Result so far: 10337
Subtract 42 from 43 to get 1.

The final result is 10337 with a remainder of 1.