Column division by multi-digit numbers
Dzielenie pisemne przez liczby wielocyfrowe
Learning objectives
You will learn column division of natural numbers by multi‑digit numbers.
Learning effect
You perform column division of natural numbers by multi‑digit numbers with remainder.
Revise all the methods of column divisioncolumn division by one‑digit numbers.
Open the slideshow and observe how we divide natural numbers by two‑digit numbers in columns. Present the results of your observations.

Zasób interaktywny dostępny pod adresem https://zpe.gov.pl/a/Deqk3hEhM
Conclusions:
To divide a multi‑digit number by a two‑digit number, follow the same pattern as when performing column divisioncolumn division by one‑digit numbers,
We check the correctness of performed operations by means of multiplication.
Perform column divisioncolumn division of natural numbers using the previously learned patterns. Check the correctness of the operations performed by means of column multiplication. Write down your conclusions.
Perform column division of natural numbers using the previously learned patterns. Check the correctness of the operations performed by means of column multiplication. Write down your conclusions.
Perform column division of natural numbers using the previously learned patterns. Check the correctness of the operations performed by means of column multiplication. Write down your conclusions.
Compare your observations with the conclusions below.
Conclusions:
To divide a multi‑digit number by a three‑digit number, follow the same pattern as when dividing by one‑digit or two‑digit numbers.
We check the correctness of performed operation by means of multiplication.
If the dividenddividend anddivisordivisor end with zeros, when dividing, the same number of final zeros can be omitted in both numbers. The result will not change.
If we divide with the remainderremainder, we must add the same number of zeros to the remainder obtained, as we crossed out in the dividend.
Solve the following word problems. Write down your calculations and the solution in your notebook.
PLN 1104 was paid for sports shoes for new players. How many players joined the team if one pair of shoes cost 138 zlotys?
Tosia worked during her holidays. She worked 54 hours and received 810 zloty. How much was she paid for an hour of work?
The teacher assesses the students' work and clarifies the doubts.
An extra task:
Calculate how many times the number a is greater than the number b if you know that the number a is 254 less than the number 1128, and the number b is 5264 greater than the number 5224.
Do the revision exercises.
Remember:
To divide a natural number by a multi‑digit number, follow the same pattern as when dividing by one‑digit numbers,
We check the correctness of performed operations by means of multiplication,
If the dividenddividendand divisordivisor end with zeros, when dividing, the same number of final zeros can be omitted in both numbers. The result will not change,
If we divide with the remainderremainder, we must add the same number of zeros to the remainder obtained, as we crossed out in the dividend.
Exercises
The result of the division of is:
Do the column division and check with multiplication.
a)
b)
c)
d)
e)
Tom's parents bought a washing machine, which cost PLN 2,200. They decided to buy it in equal monthly installments. In this form of purchase, the extra fee of PLN 400 is added. What is the monthly installment if the repayment period is two years?
Write down the appropriate operations in columns and provide an answer in English.
Indicate which pairs of expressions or words are translated correctly.
- dzielenie pisemne przez liczby wielocyfrowe - column division by multi-digit numbers
- dzielenie liczb z zerami - division with numbers containing zeros
- sprawdzenie poprawności dzielenia - checking the correctness of division
- dzielna - dividend
- dzielnik - remainder
- reszta z dzielenia - divisor
- dzielna
- column division by multi-digit numbers
- remainder
- dividend
- dzielenie pisemne przez liczby wielocyfrowe
- dzielenie liczb z zerami
- checking the correctness of division
- sprawdzenie poprawno�ci dzielenia
- division with numbers containing zeros
- reszta z dzielenia
Glossary
liczby wielocyfrowe
Nagranie dostępne na portalu epodreczniki.pl
wymowa w języku angielskim: multi‑digit numbers
dzielenie liczb z zerami
Nagranie dostępne na portalu epodreczniki.pl
wymowa w języku angielskim: division with numbers containing zeros
dzielenie pisemne
Nagranie dostępne na portalu epodreczniki.pl
wymowa w języku angielskim: column division
dzielna
Nagranie dostępne na portalu epodreczniki.pl
wymowa w języku angielskim: dividend
dzielnik
Nagranie dostępne na portalu epodreczniki.pl
wymowa w języku angielskim: divisor
reszta z dzielenia
Nagranie dostępne na portalu epodreczniki.pl
wymowa w języku angielskim: remainder
Keywords
column divisioncolumn division
division with numbers containing zerosdivision with numbers containing zeros
dividenddividend
divisordivisor
multi‑digit numbersmulti‑digit numbers