62984 ÷ 6 = 10497 R2
Alright, let's work through the division of 62984 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 (9) of the dividend behind the 2 and repeat the process: 29 / 6

Step 3:
6 goes into 29 4 times with a remainder of 5.
Write down 4 as next digit of of the result. 
Result so far: 104
Subtract 24 from 29 to get 5.
Bring next digit (8) of the dividend behind the 5 and repeat the process: 58 / 6

Step 4:
6 goes into 58 9 times with a remainder of 4.
Write down 9 as next digit of of the result. 
Result so far: 1049
Subtract 54 from 58 to get 4.
Bring next digit (4) of the dividend behind the 4 and repeat the process: 44 / 6

Step 5:
6 goes into 44 7 times with a remainder of 2.
Write down 7 as next digit of of the result. 
Result so far: 10497
Subtract 42 from 44 to get 2.

The final result is 10497 with a remainder of 2.