How can you use partial quotients to find 684 divided by 57?

Answer: 684 divided by 57=12

Step-by-step explanation: (with reference to the figure)

To find 684 divided by 57 by partial quotients.

Here dividend = 684 and divisor = 57

Step 1: Write easy factors of divisor that is nearest to the dividend as follows

57*2=114

57*3=171

57*5=285

57*10=570 (nearest easy factor)

Step 2: Now subtract 570 from 684, we get 114 then subtract 114=57*2 from it we get 0.

Step 3: Adding the factors we have used in step 1 and 2, it will give required quotient=10+2=12

i. e. 684=57 (10) + 57 (2)