Solve 12000div45

$$12000 \div 45$$

Evaluate

$$\frac{800}{3}\approx 266.666666667$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 12000

$$\begin{array}{l}\phantom{45)}\phantom{1}\\45\overline{)12000}\\\end{array}$$

Since 1 is less than 45, use the next digit 2 from dividend 12000 and add 0 to the quotient

$$\begin{array}{l}\phantom{45)}0\phantom{2}\\45\overline{)12000}\\\end{array}$$

Use the 2^{nd} digit 2 from dividend 12000

$$\begin{array}{l}\phantom{45)}0\phantom{3}\\45\overline{)12000}\\\end{array}$$

Since 12 is less than 45, use the next digit 0 from dividend 12000 and add 0 to the quotient

$$\begin{array}{l}\phantom{45)}00\phantom{4}\\45\overline{)12000}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 12000

$$\begin{array}{l}\phantom{45)}00\phantom{5}\\45\overline{)12000}\\\end{array}$$

Find closest multiple of 45 to 120. We see that 2 \times 45 = 90 is the nearest. Now subtract 90 from 120 to get reminder 30. Add 2 to quotient.

$$\begin{array}{l}\phantom{45)}002\phantom{6}\\45\overline{)12000}\\\phantom{45)}\underline{\phantom{9}90\phantom{99}}\\\phantom{45)9}30\\\end{array}$$

Use the 4^{th} digit 0 from dividend 12000

$$\begin{array}{l}\phantom{45)}002\phantom{7}\\45\overline{)12000}\\\phantom{45)}\underline{\phantom{9}90\phantom{99}}\\\phantom{45)9}300\\\end{array}$$

Find closest multiple of 45 to 300. We see that 6 \times 45 = 270 is the nearest. Now subtract 270 from 300 to get reminder 30. Add 6 to quotient.

$$\begin{array}{l}\phantom{45)}0026\phantom{8}\\45\overline{)12000}\\\phantom{45)}\underline{\phantom{9}90\phantom{99}}\\\phantom{45)9}300\\\phantom{45)}\underline{\phantom{9}270\phantom{9}}\\\phantom{45)99}30\\\end{array}$$

Use the 5^{th} digit 0 from dividend 12000

$$\begin{array}{l}\phantom{45)}0026\phantom{9}\\45\overline{)12000}\\\phantom{45)}\underline{\phantom{9}90\phantom{99}}\\\phantom{45)9}300\\\phantom{45)}\underline{\phantom{9}270\phantom{9}}\\\phantom{45)99}300\\\end{array}$$

Find closest multiple of 45 to 300. We see that 6 \times 45 = 270 is the nearest. Now subtract 270 from 300 to get reminder 30. Add 6 to quotient.

$$\begin{array}{l}\phantom{45)}00266\phantom{10}\\45\overline{)12000}\\\phantom{45)}\underline{\phantom{9}90\phantom{99}}\\\phantom{45)9}300\\\phantom{45)}\underline{\phantom{9}270\phantom{9}}\\\phantom{45)99}300\\\phantom{45)}\underline{\phantom{99}270\phantom{}}\\\phantom{45)999}30\\\end{array}$$

Since 30 is less than 45, stop the division. The reminder is 30. The topmost line 00266 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 266.

$$\text{Quotient: }266 \text{Reminder: }30$$

Factor

$$\frac{2 ^ {5} \cdot 5 ^ {2}}{3} = 266\frac{2}{3} = 266.6666666666667$$