1. Revision
Topic

Reflect and
Review
To solve 355 ÷ 6,
Recall of division
of 2- and 3-digit
numbers by 1-digit
numbers
6
59
355
-3 0
55
-54
1
Teasers
Answers
1) Divide 343 by 7.
2) Ankur distributed 96 cookies
equally among his 12 friends.
How many cookies did each
of friends get?
1) 49
2) 8
So, we get 59 as the
quotient and 1 as
the remainder.
2. Division of 3- and 4-digit numbers
Description
Reflect and Review

Division of a 3digit number
by a 2-digit
number.

To solve 724 ÷ 14,
14
51
724
-7 0
24
-14
10
Here, Dividend = 724, Divisor
= 14, Quotient = 51 and
Remainder = 10.
To check the division,
Dividend = Divisor × Quotient
+ Remainder
= 14 × 51 + 10
= 714 + 10
Teasers
1) Divide and
check your
answer.
a) 698 ÷ 12
b) 4789 ÷
25
2) a) In a
nursery,
6087
plants are
arranged in
15 rows.
How many
plants are
arranged in
each row
and how
many are
Answers
1) a) Quotient =
58, Remainder =
2.
b) Quotient =
191, Remainder
= 14.
2) a) 405 plants
are arranged in
each row and 12
plants are left
b) 7
1
= 724
Thus, the answer is correct.

Division of a 4digit number
by a 1-digit
number.

To solve 724 ÷ 14,
423
7 2962
-2 8
16
-1 4
22
-2 1
1
Here, Dividend = 2962, Divisor
= 7, Quotient = 423 and
Remainder = 1.
To check the division,
Dividend = Divisor × Quotient
+ Remainder
= 7 × 423 + 1
= 2961 + 1
= 2962
Thus, the answer is correct.

Division of a 4digit number
by a 2-digit
number.

To solve 7697 ÷ 25,
25
307
7697
-7 5
197
-1 7 5
22
Here, Dividend = 7697, Divisor
= 25, Quotient = 307 and
Remainder = 22.
To check the division,
Dividend = Divisor × Quotient
+ Remainder
= 25 × 307 + 22
= 7675 + 22
= 7697
2
left?
b) When
3546 is
divided by
a number,
the
quotient is
obtained
as 506 and
remainder
is 4. Find
the
number
(divisor).
Thus, the answer is correct.
3. Division by 10, 100 and 1000
Description
Reflect and
Review

If a number is divided
by 10, then the ones
digit is the remainder
and the remaining
digits form the
quotient.

If a number is divided
by 100, then the tens
and ones digits
together form the
remainder and the rest
of the digits form the
quotient.

If a number is divided
by 1000, then the
hundreds, tens and
ones digits together
form the remainder
and the rest of the
digits form the
quotient.
To solve 4050 ÷
10,
Quotient = 405,
Remainder = 0
To solve 4050 ÷
100,
Quotient = 40,
Remainder = 50
Teasers
1) Find quotient and
remainder.
a) 3456 ÷ 100
b) 4598 ÷ 1000
2) 421 chocolates were
equally distributed
among 100 children.
Find how many
chocolates did each
child get and how
many are left.
Answers
1) a) Quotient =
34, Remainder =
56
b) Quotient = 4,
Remainder =
598
2) Each child
got 4
chocolates
and 21
chocolates
were left.
To solve 4050 ÷
1000,
Quotient = 4,
Remainder = 50
4. Properties of division
Description
4 basic properties of division are as
follows:
 Property of One:
When a non-zero number is
divided by 1, the quotient is the
number itself and the remainder
is zero.
 When a number is divided by
itself, the quotient is always 1
Reflect and
Review
482 ÷ 1 = 482 with 0
as remainder …by
property of one.
22678 ÷ 22678 = 1
with 0 as remainder
Teasers
Fill in the
blanks:
1) ____ ÷ 1 =
0
2) ____ ÷
1000 = 1
3) 1 ÷ ____ =
1
Answers
1) 0
2) 1000
3) 1
3


and the remainder is always
zero.
Division by zero has no
meaning.
When 0 is divided by any
number, the quotient is always
0.
5. Estimated Quotient
Description
Estimating the quotient
is a way to get an
approximate value of
the quotient. To
calculate the estimated
quotient, we divide the
rounded off values of
both dividend and
divisor.
4
324 ÷ 0 = undefined
0 ÷ 1000 = 0
Reflect and Review
Teasers
To estimate the quotient for
4056 ÷ 23, by rounding off the
dividend to the nearest 100 and
the divisor to the nearest 10:
1) Estimate the
quotient when
456 ÷ 15 by
rounding off to
the nearest 10.
2) There are 625
tissues in 25
tissue boxes
each containing
equal number of
tissues. Estimate
how many
tissues are there
in each tissue
box by rounding
off to the
nearest 10.
Rounded off value of 4056 to
the nearest 100 is 4100 and of
23 to the nearest 10 is 20.
Thus, 4100 ÷ 20 = 205.
Answers
1) 23
2) 21