Worksheet: Dividing 4-, 5-, and 6-Digit Numbers by 2-Digit Numbers

In this worksheet, we will practice finding 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 22,120?

Q2:

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?

  • Abetween 100 and 200
  • Bbetween 2 0 0 0 and 3 0 0 0
  • Cbetween 1 0 0 0 0 and 2 0 0 0 0
  • Dbetween 10 and 20
  • Ebetween 1 0 0 0 and 2 0 0 0

We use 2 4 2 5 5 = 2 4 ร— 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 ๐‘Ž , between 1 and 9, which represents the number of 15s in 24. What is the value of ๐‘Ž ?

  • A ๐‘Ž = 1
  • B ๐‘Ž = 5
  • C ๐‘Ž = 2
  • D ๐‘Ž = 4
  • E ๐‘Ž = 3

At this stage, we have found that sharing 24 thousands in 15 groups gives 1 (number ๐‘Ž ) thousand per group, or that we can form 1 group of 15 thousands with 24 thousands. We need to work out the remainder (number ๐‘ ), 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 ๐‘ ). What are the values of ๐‘ and ๐‘ ?

  • A ๐‘ = 1 5 0 0 0 , ๐‘ = 3 9 2 5 5
  • B ๐‘ = 1 5 0 0 0 , ๐‘ = 9 2 5 5
  • C ๐‘ = 1 5 0 , ๐‘ = 3 9 2 5 5
  • D ๐‘ = 1 5 0 0 , ๐‘ = 2 2 7 5 5
  • E ๐‘ = 1 5 , ๐‘ = 9 2 5 5

The diagram shows the second stage of the division algorithm. The number ๐‘‘ is between 1 and 9 and represents the number of 15s in 92. What are the values of ๐‘‘ , ๐‘’ , and ๐‘“ ?

  • A ๐‘‘ = 6 , ๐‘’ = 9 0 0 , ๐‘“ = 2 5 5
  • B ๐‘‘ = 6 , ๐‘’ = 9 0 0 0 , ๐‘“ = 9 2 4 9
  • C ๐‘‘ = 6 , ๐‘’ = 9 0 0 0 , ๐‘“ = 2 5 5
  • D ๐‘‘ = 1 6 , ๐‘’ = 9 0 0 0 , ๐‘“ = 2 5 5
  • E ๐‘‘ = 6 , ๐‘’ = 9 , ๐‘“ = 2 5 5

The diagram shows the third stage of the division algorithm. What does the number ๐‘” represent?

  • Athe number of 25s in 255
  • Bthe number of 15s in 925
  • Cthe number of 15s in 255
  • Dthe number of 25s in 925
  • Ethe number of 15s in 25

What are the values of ๐‘— , ๐‘˜ , and ๐‘™ ?

  • A ๐‘— = 7 , ๐‘˜ = 1 5 0 , ๐‘™ = 0
  • B ๐‘— = 7 , ๐‘˜ = 1 0 5 , ๐‘™ = 0
  • C ๐‘— = 7 , ๐‘˜ = 0 , ๐‘™ = 1 0 5
  • D ๐‘— = 1 7 , ๐‘˜ = 1 0 5 , ๐‘™ = 0
  • E ๐‘— = 1 7 , ๐‘˜ = 0 , ๐‘™ = 1 0 5

Q3:

Evaluate ( 9 , 7 4 4 รท 5 8 ) โˆ’ 1 4 .

Q4:

Complete the expression 9 , 8 4 0 รท 1 6 = ( โˆ’ 1 5 ) .

Q5:

Matthew receives a weekly allowance which totals $1,820 in a year. Using that there are 52 weeks in a year, determine how much he receives each week.

Q6:

What is the number that when multiplied by 97 gives 89,046?

Q7:

Complete the expression 9 , 7 4 4 รท 2 8 = ( โˆ’ 2 9 ) .

Q8:

Complete the expression 9 , 7 6 8 รท 2 4 = ( โˆ’ 1 1 ) .

Q9:

Complete the expression 7 , 0 2 0 รท 1 3 = ( โˆ’ 3 0 ) .

Q10:

Evaluate ( 9 , 0 0 9 รท 2 1 ) โˆ’ 3 9 .

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