convert 689 base 10 to base 3. Can you please show me this step by step

Answer 1

sure. take the powers of 3
3,9,27,81,243
so in base 10 689, I see
two 243 (486) plus
two 81 (162) we are up to 648 now, or 41 left, so
one 27 (27)
one 9 (9)
one 3 (3)
and two remainders.

in inverse order the number base 3 is
2111222
in regular order
2211122
check
2*3^0= 2
1*3^1= 3
1*3^2= 9
1*3^3= 27
2*3^4= 162
2*3^5= 486
base10 total= sum of above 689