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Solution:

(a) 100 876 8 (b) 100 3438 34 (c) 100 65032 650
– 800 – 300 – 600
76 438 503
– 400 – 500
Q = 8, R = 76 38 32

Q = 34, R = 38 Q = 650, R = 32
Alternatively,

(a) H t O (b) th H t O (c) tth th H t O
8 7 6 ÷ 100 3 4 3 8 ÷ 100 6 5 0 3 2 ÷ 100
= 8 R 76 = 34 R 38 = 650 R 32

Quotient Remainder Quotient Remainder Quotient Remainder

Therefore, when a number is divided by 100, the
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digits in the tens and ones places form the remainder Divide your birth year Critical Thinking
and the remaining digit(s) form the quotient. by 10, 100, and 1000.
What do you get as the quotient
Division by 1000 and remainder in each case?

Example 3: Divide each of the following by 1000.

(a) 6429 (b) 67322 (c) 990315

Solution:

(a) 1000 6429 6 (b) 1000 67322 67 (c) 1000 990315 990 Q
– 6000 – 6000 – 9000

429 7322 9031
Q = 6, R = 429 – 7000 – 9000
322 315 R

Q = 67, R = 322 Q = 990, R = 315
Alternatively,

(a) th H t O (b) tth th H t O (c) L tth th H t O

6 4 2 9 ÷ 1000 6 7 3 2 2 ÷ 1000 9 9 0 3 1 5 ÷ 1000
= 6 R 429 = 67 = 990
R 322 R 315
Quotient Remainder Quotient Remainder Quotient Remainder

Therefore, when a number is divided by 1000, the digits in the hundreds, tens and

ones places form the remainder and the rest of the digit(s) form the quotient.

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