Solve 200000:150

$$200000 : 150$$

Evaluate

$$\frac{4000}{3}\approx 1333.333333333$$

Steps For Long Division Method

Use the 1^{st} digit 2 from dividend 200000

$$\begin{array}{l}\phantom{150)}\phantom{1}\\150\overline{)200000}\\\end{array}$$

Since 2 is less than 150, use the next digit 0 from dividend 200000 and add 0 to the quotient

$$\begin{array}{l}\phantom{150)}0\phantom{2}\\150\overline{)200000}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 200000

$$\begin{array}{l}\phantom{150)}0\phantom{3}\\150\overline{)200000}\\\end{array}$$

Since 20 is less than 150, use the next digit 0 from dividend 200000 and add 0 to the quotient

$$\begin{array}{l}\phantom{150)}00\phantom{4}\\150\overline{)200000}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 200000

$$\begin{array}{l}\phantom{150)}00\phantom{5}\\150\overline{)200000}\\\end{array}$$

Find closest multiple of 150 to 200. We see that 1 \times 150 = 150 is the nearest. Now subtract 150 from 200 to get reminder 50. Add 1 to quotient.

$$\begin{array}{l}\phantom{150)}001\phantom{6}\\150\overline{)200000}\\\phantom{150)}\underline{\phantom{}150\phantom{999}}\\\phantom{150)9}50\\\end{array}$$

Use the 4^{th} digit 0 from dividend 200000

$$\begin{array}{l}\phantom{150)}001\phantom{7}\\150\overline{)200000}\\\phantom{150)}\underline{\phantom{}150\phantom{999}}\\\phantom{150)9}500\\\end{array}$$

Find closest multiple of 150 to 500. We see that 3 \times 150 = 450 is the nearest. Now subtract 450 from 500 to get reminder 50. Add 3 to quotient.

$$\begin{array}{l}\phantom{150)}0013\phantom{8}\\150\overline{)200000}\\\phantom{150)}\underline{\phantom{}150\phantom{999}}\\\phantom{150)9}500\\\phantom{150)}\underline{\phantom{9}450\phantom{99}}\\\phantom{150)99}50\\\end{array}$$

Use the 5^{th} digit 0 from dividend 200000

$$\begin{array}{l}\phantom{150)}0013\phantom{9}\\150\overline{)200000}\\\phantom{150)}\underline{\phantom{}150\phantom{999}}\\\phantom{150)9}500\\\phantom{150)}\underline{\phantom{9}450\phantom{99}}\\\phantom{150)99}500\\\end{array}$$

Find closest multiple of 150 to 500. We see that 3 \times 150 = 450 is the nearest. Now subtract 450 from 500 to get reminder 50. Add 3 to quotient.

$$\begin{array}{l}\phantom{150)}00133\phantom{10}\\150\overline{)200000}\\\phantom{150)}\underline{\phantom{}150\phantom{999}}\\\phantom{150)9}500\\\phantom{150)}\underline{\phantom{9}450\phantom{99}}\\\phantom{150)99}500\\\phantom{150)}\underline{\phantom{99}450\phantom{9}}\\\phantom{150)999}50\\\end{array}$$

Use the 6^{th} digit 0 from dividend 200000

$$\begin{array}{l}\phantom{150)}00133\phantom{11}\\150\overline{)200000}\\\phantom{150)}\underline{\phantom{}150\phantom{999}}\\\phantom{150)9}500\\\phantom{150)}\underline{\phantom{9}450\phantom{99}}\\\phantom{150)99}500\\\phantom{150)}\underline{\phantom{99}450\phantom{9}}\\\phantom{150)999}500\\\end{array}$$

Find closest multiple of 150 to 500. We see that 3 \times 150 = 450 is the nearest. Now subtract 450 from 500 to get reminder 50. Add 3 to quotient.

$$\begin{array}{l}\phantom{150)}001333\phantom{12}\\150\overline{)200000}\\\phantom{150)}\underline{\phantom{}150\phantom{999}}\\\phantom{150)9}500\\\phantom{150)}\underline{\phantom{9}450\phantom{99}}\\\phantom{150)99}500\\\phantom{150)}\underline{\phantom{99}450\phantom{9}}\\\phantom{150)999}500\\\phantom{150)}\underline{\phantom{999}450\phantom{}}\\\phantom{150)9999}50\\\end{array}$$

Since 50 is less than 150, stop the division. The reminder is 50. The topmost line 001333 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 1333.

$$\text{Quotient: }1333 \text{Reminder: }50$$

Factor

$$\frac{2 ^ {5} \cdot 5 ^ {3}}{3} = 1333\frac{1}{3} \approx 1333.333333333$$