THE division is one of the four Mathematics operations (addition, subtraction, multiplication and division) and is represented by the following algorithm:
Dividend← the | B → Divider
Rest ← d c → Quotient
To better understand the use of this algorithm, follow the examples below:
→ Example: Using the division algorithm, get the result of the divisions below:
a) 24: 2
24 | 2
-24 12
00
24 → Dividend,
2 → Divider
12 → Quotient
0 → Rest
B)34: 2
34 | 2
- 34 17
00
34 → Dividend
2 → Divider
17 → Quotient
0 → Rest
ç)22: 4
22 | 4
-20 5
02
22 → Dividend
4 → Divider
5 → Quotient
2 → Rest
The division algorithm can also be represented horizontally through an equality. This method is called Fundamental Relationship of the Division:
dividend = divisor x quotient + remainder
Every time we apply this relationship, we will be able to find out the value of the dividend, as long as the other values are known. See some examples:
→ Example: Find the value of the dividend knowing that the divisor is 5, the quotient is 12, and the remainder is zero.
Divider = 5
Quotient = 12
Rest = 0
Dividend = the
Using the Fundamental Relationship of the Division, we obtain the value of the dividend:
dividend = divisor x quotient + remainder
a = 5 x 12 + 0
a = 60
The numerical value representing the dividend is 60.
→ Example: Carlos divided a numerical value by 2 and got 24 as an answer. What was the value that Carlos shared?
Divider = 2
Quotient = 24
Rest = 0
Dividend = the
Applying the Fundamental Relationship of the Division, we have to:
dividend = divisor x quotient + remainder
a =2 x 24 + 0
a = 48
→ Example: Look at the division algorithm below and get the value of The, regarding the dividend.
The | 9
3 17
Apply the Division's Fundamental Relationship to obtain The:
dividend = divisor x quotient + remainder
a =9 x 17 + 3
a = 156
By Naysa Oliveira
Graduated in Mathematics
