Final answer:
To divide 746 by 43 using the box method, break down the division into manageable chunks by estimating, multiplying, and subtracting step by step. The result is 17 with a remainder of 15.
Step-by-step explanation:
The question asks how to divide 746 by 43 using the box method. The box method is a technique used in mathematics to simplify division by breaking it down into more manageable chunks. Here's a step-by-step explanation on how to perform this division:
- Draw a box and divide it into two columns. Place the divisor (43) on the outside left of the box and the dividend (746) inside the box.
- Estimate how many times the divisor can go into the first digit (or first two digits) of the dividend. For instance, 43 goes into 74 once, so put 1 on top of the box and multiply 1 by 43 (which is 43) and write this below 74.
- Subtract 43 from 74, which gives you 31. Bring down the next digit of the dividend to get 316.
- Estimate how many times 43 goes into 316. It goes 7 times, so write 7 on top of the box and multiply 7 by 43 to get 301 and write it below 316.
- Subtract 301 from 316 which gives you 15.
- Since 43 cannot go into 15, that's your remainder. The result of the division is the numbers on top of the box followed by the remainder. So, 746 divided by 43 is 17 with a remainder of 15.
It's important to note that each step involves only simple multiplication and subtraction, making it easier to understand and solve the division problem.