Solve 1000:30=

$$1000 : 30 =$$

Evaluate

$$\frac{100}{3}\approx 33.333333333$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 1000

$$\begin{array}{l}\phantom{30)}\phantom{1}\\30\overline{)1000}\\\end{array}$$

Since 1 is less than 30, use the next digit 0 from dividend 1000 and add 0 to the quotient

$$\begin{array}{l}\phantom{30)}0\phantom{2}\\30\overline{)1000}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 1000

$$\begin{array}{l}\phantom{30)}0\phantom{3}\\30\overline{)1000}\\\end{array}$$

Since 10 is less than 30, use the next digit 0 from dividend 1000 and add 0 to the quotient

$$\begin{array}{l}\phantom{30)}00\phantom{4}\\30\overline{)1000}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 1000

$$\begin{array}{l}\phantom{30)}00\phantom{5}\\30\overline{)1000}\\\end{array}$$

Find closest multiple of 30 to 100. We see that 3 \times 30 = 90 is the nearest. Now subtract 90 from 100 to get reminder 10. Add 3 to quotient.

$$\begin{array}{l}\phantom{30)}003\phantom{6}\\30\overline{)1000}\\\phantom{30)}\underline{\phantom{9}90\phantom{9}}\\\phantom{30)9}10\\\end{array}$$

Use the 4^{th} digit 0 from dividend 1000

$$\begin{array}{l}\phantom{30)}003\phantom{7}\\30\overline{)1000}\\\phantom{30)}\underline{\phantom{9}90\phantom{9}}\\\phantom{30)9}100\\\end{array}$$

Find closest multiple of 30 to 100. We see that 3 \times 30 = 90 is the nearest. Now subtract 90 from 100 to get reminder 10. Add 3 to quotient.

$$\begin{array}{l}\phantom{30)}0033\phantom{8}\\30\overline{)1000}\\\phantom{30)}\underline{\phantom{9}90\phantom{9}}\\\phantom{30)9}100\\\phantom{30)}\underline{\phantom{99}90\phantom{}}\\\phantom{30)99}10\\\end{array}$$

Since 10 is less than 30, stop the division. The reminder is 10. The topmost line 0033 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 33.

$$\text{Quotient: }33 \text{Reminder: }10$$

Factor

$$\frac{2 ^ {2} \cdot 5 ^ {2}}{3} = 33\frac{1}{3} = 33.333333333333336$$