number bases

We want to use a process by which we keep dividing until we have a "0"  whole number 

First, divide 105 by 5  and we have

105 /  5   =   21  whole number   and   0  remainder

Now,  divide  21 by 5

21 / 5   =   4 whole number  and 1 remainder

Now....divide  4  by 5

4 / 5  =   0 whole number   and   4  remiander

Read the remainders from  bottom  to  top  =     410

And this is the  base 5 representation of 105  =  410₅

4*5^2 + 1*5^1 + 0*5^0 = 105, so 410₅ = 105₁₀ 

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