Paloma decided to divide 1,292 by 31 using partial quotients. She uses 30 as her first partial quotient. Which are the partial quotients Paloma should show in her work?

A) 30,10

B) 30,10,1

C) 10,10,10,1

D) 10,10,10,10,1

Answer:Partial quotients Paloma should show in her work are B) 30,10,1.

Step-by-step explanation:

Given : Paloma dividing 1292 (dividend) by 31 (divisor) using partial quotients.

so the easy multiples of 31 are as 31*2=62,31*3=93,31*10=310 ... so on

if she uses 30 as her first partial quotient then 31*30=930, so after subtracting 930 from 1292 we get 362 as new dividend then 31*10=310 is the easiest multiple of 31 so that 362-310=52 as new dividend, then 31*1=31 subtracting this from 52 gives 52-31=21 which is the remainder.

Therefore, Partial quotients Paloma should show in her work are 30,10 and 1.