# Long Division using 1 Number

In this article, we are going to teach you the long division and its application and how to do it step by step.

In mathematics, long division is a technique utilized for dividing larger figures into parts or groups.

Long division assists in splitting the division problem into a series of simpler steps. As with all division problems, a big number, called a dividend, gets divided via another number, known as the divisor, to provide an answer, known as a quotient and at times there is a remainder.

There are many different parts involved in an equation using long division:

A dividend is a figure on the righthand side of an equation, underneath the line. It signifies the quantity being divided.

A divisor is a figure on the lefthand side – it is the one that does the dividing.

A quotient is a numeral on the top. This signifies the solution, or the amount of units there are in each of the place values after an equation has been done.

A remainder is a numeral on the top right. This signifies the units that are left which cannot be divided evenly into a quotient.

## How is Division done?

Follow these steps here to find out the way division is done:

Step one: Write down the division symbol, then write the divisor on its lefthand side and the dividend is included underneath that symbol.

Step two: Get the $$1$$st number of the dividend from the left. Then, see if that number is bigger than or equals the divisor. [Should the $$1$$st number of the dividend be lower than the divisor, we reflect on the first $$2$$ numbers of the dividend]

Step three: After that divide it via the divisor, then put the result on top as the resulting quotient.

Step four: Subtract the product of the divisor as well as the number placed in the quotient from the $$1$$st number of the dividend and then write down the difference below.

Step five: Bring down the subsequent number of the dividend (if it exists).

Step six: Do all these steps until you come up with the remainder, which is lower than the divisor.

## Long Division Hints and Secrets:

The following are several vital hints and secrets to assist one in doing long division:

• When it comes to whole numbers, a dividend is constantly more than or it equals a divisor as well as the quotient.
• A remainder is constantly less than a divisor.
• In division, a divisor can’t be zero.
• Division is repeated subtraction, thus you are able to check the quotient via repetitive subtractions also.
• You can validate both quotient and remainder of the division utilizing the division formula as follows: $$Dividend = (Divisor × Quotient) + Remainder$$.
• Should a remainder be zero, you are able to check the quotient via multiplying it with a divisor. Should a be equal to a dividend, this means the quotient is right.

### Long Division using 1 Number – Example 1:

Find the quotient.

Solution:

$$\frac{50}{2}$$ means the number of $$2$$ that must be added to get $$50$$. In terms of partition,   $$\frac{50}{2}$$ means the size of each of $$2$$ parts into which a set of size $$50$$ is divided. For example $$50$$ apples divides into $$2$$ groups of $$25$$ apples.

### Long Division using 1 Number – Example 2:

Find the quotient.

Solution:

$$\frac{128}{4}$$ means the number of $$4$$ that must be added to get $$128$$. In terms of partition, $$\frac{128}{4}$$ means the size of each of $$4$$ parts into which a set of size $$128$$ is divided. The answer is $$32$$

## Exercises for Long Division using 1 Number

Find the quotient.

1)

2)

1. $$\color{blue}{45}$$
2. $$\color{blue}{54}$$

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