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E:\Working\Focus_Learning\Math_Genius_5_(05-10-2023)\Open_Files\CHAP_02
\\February 27, 2024 10:04 AM Surender Prajapati Proof 5 Reader _________________________ Date: ___________________74
division of numbers
division by 10, 100 and 1000
When a number is divided by 10, the ones digit of the dividend becomes the remainder
and the number formed by the rest of the digits becomes the quotient.
example: (a) 56738 ÷ 10, Q = 5673, R = 8 (b) 270364 ÷ 10, Q = 27036, R = 4
When a number is divided by 100, the number formed by tens and ones digits of the
dividend becomes the remainder and the number formed by the rest of the digits
becomes the quotient.
example: (a) 41036 ÷ 100, Q = 410, R = 36 (b) 521483 ÷ 100, Q = 5214, R = 83
When a number is divided by 1000, the number formed by hundreds, tens and ones
digits of the dividend becomes the remainder and the number formed by the rest of
the digits becomes the quotient.
example: (a) 69273 ÷ 1000, Q = 69, R = 273 (b) 500436 ÷ 1000, Q = 500, R = 436
division of Large numbers
Let us recall the terms related to division:
The number which is to be divided is called the dividend. Knowledge Desk
The number by which the dividend is divided is called the divisor. The symbol for
'÷' called 'obelus'
The result of division is called the quotient (Q). was first used in
1659 by the Swiss
When a number is divided by another number and a number mathematician
smaller than the divisor is left over, the left over number is Johann Heinrich
Rahn in his work–
called the remainder (R). Teutsche Algebra.
Larger numbers are divided in the same way as smaller numbers.
example 1: Divide 86345 by 23 and check the answer.
Solution: 3 7 5 4 Q Checking:
Divisor 23 8 6 3 4 5 Dividend Quotient × Divisor +
– 6 9 Remainder = Dividend tth th H t O
1 7 3 3 7 5 4
– 1 6 1 3754 × 23 + 3 = 86345 × 2 3
1 2 4 86342 + 3 = 86345 1 1 2 6 2
– 1 1 5 86345 = 86345 + 7 5 0 8 0
9 5 The division is correct. 8 6 3 4 2
– 9 2
3 R
40 Mathematics-5
