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In this lesson, we will learn how to find the quotients and remainders of a division operation of 4-, 5-, and 6-digit numbers by two-digit numbers.

Q1:

What is the number that when multiplied by 28 gives 22β120?

Q2:

What is the number that when multiplied by 97 gives 89β046?

Q3:

We want to divide 2 4 2 5 5 by 15 using the standard division algorithm.

In which interval do you expect the result to be?

We use 2 4 2 5 5 = 2 4 Γ 1 0 0 0 + 2 5 5 for the first stage of the division, in which we divide 2 4 0 0 0 by 15. We look for the number π , between 1 and 9, which represents the number of 15s in 24. What is the value of π ?

At this stage, we have found that sharing 24 thousands in 15 groups gives 1 (number π ) thousand per group, or that we can form 1 group of 15 thousands with 24 thousands. We need to work out the remainder (number π ), taking into account that we want to divide 2 4 2 5 5 by 15. For this, we write what has already been shared (number π ). What are the values of π and π ?

The diagram shows the second stage of the division algorithm. The number π is between 1 and 9 and represents the number of 15s in 92. What are the values of π , π , and π ?

The diagram shows the third stage of the division algorithm. What does the number π represent?

What are the values of π , π , and π ?

Q4:

Complete the expression 9 8 4 0 Γ· 1 6 = ( β 1 5 ) .

Q5:

Complete the expression 8 8 6 6 Γ· 1 1 = ( β 2 6 ) .

Q6:

Complete the expression 9 7 4 4 Γ· 2 8 = ( β 2 9 ) .

Q7:

Complete the expression 9 7 6 8 Γ· 2 4 = ( β 1 1 ) .

Q8:

Evaluate ( 9 7 4 4 Γ· 5 8 ) β 1 4 .

Q9:

Evaluate ( 9 0 0 9 Γ· 2 1 ) β 3 9 .

Q10:

Sameh receives a weekly allowance which totals $1β820 in a year. Using that there are 52 weeks in a year, determine how much he receives each week.

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