Dividing Four Digit Numbers by Two Digit Numbers Using Long Division

The video tutorial teaches how to divide a four-digit number by a two-digit number using long division. It begins with a practical problem of dividing students into groups, reviews the concept of multiplication and division as inverse operations, and explains the long division algorithm. The tutorial also demonstrates the use of the distributive property and mental math for calculations. A detailed example of dividing 3,145 by 37 is provided, showing each step of the process, including checking divisibility, using the distributive property, and calculating the quotient and remainder.

How many students were in each group if 3,145 students were split into 37 groups?

Explain how the distributive property can be used to simplify multiplication.

What is the long division algorithm used to divide 314 by 37?

What is the quotient when 3,145 is divided by 37?

Describe the relationship between dividends, divisors, quotients, and remainders in division.