The division is one the basic arithmetic operation which we have to learn in the primary level. Dividing by 10, 100, and 1000 Divisors means a number is divided into 10 or 100 or 1000 equal parts. For this, you need to learn the multiples of 10 which helps you to solve the problems quickly. Go to the below section to understand the concept of Divide by 10, 100, and 1000 Divisors.

Also, Refer:

- Dividend Divisor Quotient And Remainder
- Divide by 2-digit Divisors
- Dividing 2-Digit Number by 1-Digit Number

### How to Divide by 10, 100 and 1000 Divisors?

The method to Divide by 10, 100, and 1000 Divisors is given below. Hence go through the below steps and practice the questions related to Dividing by 10, 100, and 1000 Divisors. Examples for Divide by 10, 100, and 1000 Divisors with answers are given in the coming section.

- When we divide a number by 10 then the very first 2-digit from the extreme right of the dividend will be divided by 10.
- Check whether the divisor 10 is greater than the 2 digit number.
- Then multiply 10 with the suitable digit.
- Then write the quotient and remainder.
- Write the next digit beside the remainder
- Again repeat the same process till you get the remainder as 0 or less than 10.
- The same process will be applied for 100 and 1000 divisors

### Division of Decimal by 10, 100, and 1000 Divisors

The division of decimals numbers is similar to the concept of fractions. When we divide the decimal number by 10, 100, or 1000 we need to shift the point to the left. If the divisor is 10 you have to shift the point one time to the left. If the divisor is 100 you have to shift the point two times to the left same with 1000.

Example:

25 ÷ 10 = 2.5

25 ÷ 100 = 0.25

25 ÷ 1000 = 0.025

### Dividing by 10 100 1000 Examples

**Example: 1**

A dealer bought 10 tables for $38000. What will be the cost of 1 table?

**Solution:** Given,

A dealer bought 10 tables for $38000.

Divide 38000 by 10 and find the cost of 1 table.

38000 ÷ 10 = 3800

The quotient is 3800 and the remainder is 0.

**Example 2.**

Divide the given numbers by 100 and write the quotient and remainder.

i. 28800 ÷ 100

ii. 10000 ÷ 100

iii. 1128 ÷ 100

**Solution:**

i.

It is a 3 digit divisor. Consider 3 digits in the dividend

288 > 100

Now multiply with 100

100 × 2 = 200

Write the result below the dividend and quotient to the right.

288 – 200 = 88

Write the remainder below and add 0 to the right it becomes 880

Again multiply with 100.

100 × 8 = 800

Subtract 880 and 800 we get 80.

Write the remainder below and add 0 to the right it becomes 800

Again multiply with 100.

100 × 8 = 800

Subtract 800 and 800 we get 0.

Thus the remainder is 0.

ii.

It is a 3 digit divisor. Consider 3 digits in the dividend

100 = 100

Now multiply with 100

100 × 1 = 100

Write the result below the dividend and quotient to the right.

100 – 100 = 0

Write the remainder below and add 0 to the right it becomes 00 and write 0 near the quotient.

Thus the remainder is 0.

iii.

It is a 3 digit divisor. Consider 3 digits in the dividend

112 > 100

Now multiply with 100

100 × 1 = 100

Write the result below the dividend and quotient to the right.

112 – 100 = 12

Write the remainder below and add 8 to the right it becomes 128.

Again multiply with 100.

100 × 1 = 100

Subtract 128 and 100 we get 28.

Thus the remainder is 28.

**Example 3.**

Find the quotient and remainder for the following numbers.

i. 34000 ÷ 1000

ii. 3720 ÷ 1000

iii. 1500 ÷ 1000

**Solution:**

i.

It is a 4 digit divisor. Consider 3 digits in the dividend

3400 > 1000

Now multiply with 1000

1000 × 3 = 3000

3400 – 3000 = 400

400 is the remainder and 3 is the quotient

Add 0 to the right side of the remainder it becomes 4000

1000 × 4 = 4000

Thus the remainder is 0 and the quotient is 34.

ii.

It is a 4 digit divisor. Consider 3 digits in the dividend

3720 > 1000

Now multiply with 1000

1000 × 3 = 3000

3720 – 3000 = 720

720 < 1000

Thus the remainder is 720 and the quotient is 3.

iii.

It is a 4 digit divisor. Consider 3 digits in the dividend

1500 > 1000

Now multiply with 1000

1000 × 1 = 1000

1500- 1000 = 500

500 < 1000

Thus the remainder is 500 and the quotient is 1.

### FAQs on Divide by 10, 100, and 1000 Divisors

**1. What happens when you divide a 2 digit number by 10 100 or 1000?**

When we divide by 100, the 2-digits in the ones and the tens place form the remainder while the remaining digits form quotient.

**2. How do you divide a number by 1000?**

To divide a number by 1000, move all of its digits to thousands place value columns to the right.

**3. What is the rule for dividing by 10?**

Move the decimal point one place to the left. Place value is the value of a digit based on its location in the number.