Estimate Quotients

Introduction for estimate quotients:

In division we got three terms when we divide the numbers we got dividend, divisor and quotient. Dividend is the number which has to be divided; divisor is the number which to divide and the quotient is the result we got when we divide the dividend by the divisor. A number of times which dividend is divisible by divisor is called quotient. In this section we have to estimate the quotient by the simple division. I like to share this Precision Definition with you all through my article.

How to Estimate Quotients:

Example: Divide 125 by 5

Step 1: In above problem dividend is 125 and divisor 5 we have to estimate quotients Now keep divisor 5 in the division bracket and place dividend (125) .
5)125

Step 2: Take first digit of the dividend (1). It is smaller than divisor 5 so it can't be divided by 5 to produce a whole number. And then take first two digits from the dividend (12) and determine how many 5's it contains. In this case 12 have 2  five's (5*2=20). Place the 2 above division bracket.
2
5)125
10

Step 3:Multiply the 5 with 2 and place the result (10) below the 12 of the dividend.

2
5)125
10


Step 4:Draw  a line under the 10 and subtract it from 12 (12-10=2). 2 is smaller than divisor (5) them bring down 5 from the 125 and place it to the right of the other 2.

2
5)125
10
25

Step 5:Now Divide  25 by 5 and place that answer above the division bracket to the right of the 2 there is five 5 in 25.

25
5)125
10
25

Step 6:Multiply the 5 of the quotient by the divisor (5) to get 25and place this below the 25. Subtract 25 from 25 to give an answer of 0. The number 0 is called the remainder and indicates that there were 0 left over.
25
5)125
10
25
25
0    (remainder)
Here we estimate the quotient 25 when dividing 125 by 5

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Problems for Estimating Quotients:

Problem 1:
Divide 24 by 4 and estimate quotients.

Solution:
first take one digit from 24 where 2<4 br="br" so="so">take tens,24>4  we know six fours in 24 (6 x 4)

6                        quotient is 6
4)24
24
0                           Remainder is 0


Problem 2:
Divide 140 by 2 and estimate quotients.

Solution:
First take one digit from 140 where 1<2 br="br" so="so">Take tens,14>2  we know seven two's in 14 (7 x 2)
Then,take 0 down no digit to divide put 0 in quotient
70
2)140
14                                             quotients is 70
0
0
0

Problem 3:
Divide  520 by 5 and estimate quotients.

Solution:
First take one digit from 520 where 5 divide by 5 is 1  put 1 in quotient
Now bring down next two digit 21 where (4 x 5)=20 put 4 in quotient and subtract 20 from 21
we have remainder 1
14
5)521
5                                             quotients is 14  and remainder is 1
21
20
1

Problem 4:
Divide  1253 by 3 and estimate quotients.

Solution:
First take one digit from 1253 where 1<3 .so=".so" 12="12" take="take" tens="tens">3
In 12 we four three's (4x 3) and take down 5,5>3 one three's in 5
subtract 3 from 5 and bring down 3.so,23>3 in 23 we have seven three's(7x 3) and remainder is 2.
417
3)1253
12                                             quotients is 417  and remainder is 2
5
3
23
21
2