



 
Michelle, I'm going to illustrate the procedure by dividing 821 by 17 in base 7. I am going to first convert 821 and 17, both written in base 10, to base 7. This procedure is illustrated in my response to an earlier question. Here is my conversion of 821 to base 7
Thus 821 = 2252_{7}. Similarly 17 = 23_{7}. Before I actually start the division I am going to calculate 1× 23_{7}, 2 × 23_{7}, 3× 23_{7} 4× 23_{7} 5× 23_{7} and
and so on. My resulting table is
Now I can start the division. I can see from my multiplication that 23_{7} divided 225_{7}. 6 times. Thus I get, after subtraction Again using of the table I see that 23_{7} divided 212_{7} 6 times and thus Thus 2252_{7} divided by 23_{7} is 66_{7} with a remainder of 5_{7} . Penny  


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