# 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.

The 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 left-hand 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.

## Related Topics

- Division
- How to Divide Polynomials?
- How to Divide Rational Expressions?
- How to Divide Mixed Numbers?

## 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.
- The division is repeated subtraction, thus you are able to check the quotient via repetitive subtractions also.
- You can validate both the 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 by 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)

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- \(\color{blue}{54}\)

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