The problem 7,291 ÷ 19 is solved below using partial quotients. Identify what partial quotient was used in each step. Then, identify your final quotient.

Question

Seven thousand two hundred ninety one minus five thousand seven hundred equals one thousand five hundred ninety one minus one thousand five hundred twenty equals seventy one minus fifty seven equals fourteen. Arrows pointing to step one, two, and three. You can not make anymore groups of nineteen. What is left becomes your remainder

Answer 1

Let's break down the steps of the partial quotients method to understand the calculations and the partial quotients used at each step.

1. First step:

   • Operation: 7,291 - 5,700
   • Partial quotient used: 300 (because 5,700 is 300 times 19)
   • Result: 7,291 - 5,700 = 1,591

2. Second step:

   • Operation: 1,591 - 1,520
   • Partial quotient used: 80 (because 1,520 is 80 times 19)
   • Result: 1,591 - 1,520 = 71

3. Third step:

   • Operation: 71 - 57
   • Partial quotient used: 3 (because 57 is 3 times 19)
   • Result: 71 - 57 = 14

At this point, you cannot make any more groups of 19 from the remaining amount of 14.

Next, we add up the partial quotients to find the final quotient:

• 300 + 80 + 3 = 383

So, the final quotient is 383 with a remainder of 14.