Explanation And Solution For 22 064 Divided By 394

Divisibility Rules PPT from studylib.net

Introduction

As a professional teacher, one of my duties is to help students understand mathematical concepts and solve problems. One of the problems that students often encounter is dividing large numbers, such as 22 064 divided by 394. In this article, I will explain the steps to divide these two numbers and provide a solution in relaxed English language.

Step-by-Step Solution

To divide 22 064 by 394, we need to follow these steps:

Step 1: Write the Problem

The first step is to write the problem in the correct format. We write 22 064 above a line and 394 below the line, with a division symbol between them.

22 064

÷394

Step 2: Check the Divisor

We need to check if the divisor, which is 394, is a factor of the dividend, which is 22 064. We can do this by adding the digits of 394 together and checking if the sum is divisible by 3. If it is, then 394 is divisible by 3, which means it is also divisible by 6 and 9.

3 + 9 + 4 = 16

16 is not divisible by 3, so 394 is not divisible by 3, 6, or 9.

Step 3: Divide the First Digit

We start by dividing the first digit of the dividend, which is 2, by the divisor, which is 394. The result is 0, so we bring down the next digit, which is 2, to make 220.

22 064

÷394

Step 4: Divide the First Two Digits

We divide the first two digits of the dividend, which is 22, by the divisor, which is 394. The result is 0, so we bring down the next digit, which is 0, to make 200.

22 064

÷394

Step 5: Divide the First Three Digits

We divide the first three digits of the dividend, which is 220, by the divisor, which is 394. The result is 0, so we bring down the next digit, which is 6, to make 206.

22 064

÷394

005

Step 6: Divide the First Four Digits

We divide the first four digits of the dividend, which is 2064, by the divisor, which is 394. The result is 5, so we write 5 above the fourth digit of the dividend and subtract 1970 from 2064 to get 94.

22 064

÷394

0055

Step 7: Divide the Next Digit

We bring down the next digit, which is 4, and divide it by the divisor, which is 394. The result is 0, so we bring down the next digit, which is 0, to make 940.

22 064

÷394

00556

Step 8: Divide the Next Two Digits

We divide the next two digits of the dividend, which is 94, by the divisor, which is 394. The result is 0, so we bring down the next digit, which is 6, to make 946.

22 064

÷394

005560

Step 9: Divide the Next Three Digits

We divide the next three digits of the dividend, which is 946, by the divisor, which is 394. The result is 2, so we write 2 above the digit 6 and subtract 788 from 946 to get 158.

22 064

÷394

005562

Step 10: Divide the Last Digit

We bring down the last digit, which is 4, and divide it by the divisor, which is 394. The result is 0, so we have a remainder of 4.

22 064

÷394

005562 with a remainder of 4

Conclusion

In conclusion, dividing large numbers such as 22 064 by 394 can be a complex process. However, by following the step-by-step solution outlined in this article, students can learn how to divide these numbers accurately and efficiently. Remember to check if the divisor is a factor of the dividend, and to divide the digits of the dividend from left to right. With practice and patience, students can become proficient in dividing large numbers and other mathematical concepts.