What Is 7/99 as a Decimal + Solution With Free Steps

The fraction 7/99 as a decimal is equal to 0.070707.

Fraction can be expressed as a decimal value by solving two numbers using a Division operation, this is called the Long Division Method. In the a/b fraction where a is the Dividend and b is the Divisor, we get results in terms of Quotient and Remainder

Here, we are more interested in the division types that result in a Decimal value, as this can be expressed as a Fraction. We see fractions as a way of showing two numbers having the operation of Division between them that result in a value that lies between two Integers.

7 99 as a decimal

Now, we introduce the method used to solve said fraction to decimal conversion, called Long Division, which we will discuss in detail moving forward. So, let’s go through the Solution of fraction 7/99.


First, we convert the fraction components, i.e., the numerator and the denominator, and transform them into the division constituents, i.e., the Dividend and the Divisor, respectively.

This can be done as follows:

Dividend = 7

Divisor = 99

Now, we introduce the most important quantity in our division process: the Quotient. The value represents the Solution to our division and can be expressed as having the following relationship with the Division constituents:

Quotient = Dividend $\div$ Divisor = 7 $\div$ 99

This is when we go through the Long Division solution to our problem. The following figure shows the long division:

7/99 Long Division Method

Figure 1

7/99 Long Division Method

We start solving a problem using the Long Division Method by first taking apart the division’s components and comparing them. As we have 7 and 99, we can see how 7 is Smaller than 99, and to solve this division, we require that 7 be Bigger than 99.

This is done by multiplying the dividend by 10 and checking whether it is bigger than the divisor or not. If so, we calculate the Multiple of the divisor closest to the dividend and subtract it from the Dividend. This produces the Remainder, which we then use as the dividend later.

Now, we begin solving for our dividend 7, which after getting multiplied by 10  twice and adding zero in the Quotient after the decimal point becomes 700.

We take this 700 and divide it by 99; this can be done as follows:

 700 $\div$ 99 $\approx$ 7


99 x 7 = 693

This will lead to the generation of a Remainder equal to 700 – 693 = 7. Now this means we have to repeat the process by Converting the 7 into 700 multiplying by 10 and adding zero in Quotient after 7 and  solving for that:

700 $\div$ 99 $\approx$ 7 


99 x 7 = 693

This, therefore, produces another Remainder equal to 700 – 693 = 7. Now we stop solving this problem, we have a Quotient generated after combining the three pieces of it as 0.0707=z, with a Remainder equal to 7.

13 by 40 Quotient and Remainder

Images/mathematical drawings are created with GeoGebra.

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