Solve 40000/120

$$\frac { 40000 } { 120 }$$

Evaluate

$$\frac{1000}{3}\approx 333.333333333$$

Steps For Long Division Method

Use the 1^{st} digit 4 from dividend 40000

$$\begin{array}{l}\phantom{120)}\phantom{1}\\120\overline{)40000}\\\end{array}$$

Since 4 is less than 120, use the next digit 0 from dividend 40000 and add 0 to the quotient

$$\begin{array}{l}\phantom{120)}0\phantom{2}\\120\overline{)40000}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 40000

$$\begin{array}{l}\phantom{120)}0\phantom{3}\\120\overline{)40000}\\\end{array}$$

Since 40 is less than 120, use the next digit 0 from dividend 40000 and add 0 to the quotient

$$\begin{array}{l}\phantom{120)}00\phantom{4}\\120\overline{)40000}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 40000

$$\begin{array}{l}\phantom{120)}00\phantom{5}\\120\overline{)40000}\\\end{array}$$

Find closest multiple of 120 to 400. We see that 3 \times 120 = 360 is the nearest. Now subtract 360 from 400 to get reminder 40. Add 3 to quotient.

$$\begin{array}{l}\phantom{120)}003\phantom{6}\\120\overline{)40000}\\\phantom{120)}\underline{\phantom{}360\phantom{99}}\\\phantom{120)9}40\\\end{array}$$

Use the 4^{th} digit 0 from dividend 40000

$$\begin{array}{l}\phantom{120)}003\phantom{7}\\120\overline{)40000}\\\phantom{120)}\underline{\phantom{}360\phantom{99}}\\\phantom{120)9}400\\\end{array}$$

Find closest multiple of 120 to 400. We see that 3 \times 120 = 360 is the nearest. Now subtract 360 from 400 to get reminder 40. Add 3 to quotient.

$$\begin{array}{l}\phantom{120)}0033\phantom{8}\\120\overline{)40000}\\\phantom{120)}\underline{\phantom{}360\phantom{99}}\\\phantom{120)9}400\\\phantom{120)}\underline{\phantom{9}360\phantom{9}}\\\phantom{120)99}40\\\end{array}$$

Use the 5^{th} digit 0 from dividend 40000

$$\begin{array}{l}\phantom{120)}0033\phantom{9}\\120\overline{)40000}\\\phantom{120)}\underline{\phantom{}360\phantom{99}}\\\phantom{120)9}400\\\phantom{120)}\underline{\phantom{9}360\phantom{9}}\\\phantom{120)99}400\\\end{array}$$

Find closest multiple of 120 to 400. We see that 3 \times 120 = 360 is the nearest. Now subtract 360 from 400 to get reminder 40. Add 3 to quotient.

$$\begin{array}{l}\phantom{120)}00333\phantom{10}\\120\overline{)40000}\\\phantom{120)}\underline{\phantom{}360\phantom{99}}\\\phantom{120)9}400\\\phantom{120)}\underline{\phantom{9}360\phantom{9}}\\\phantom{120)99}400\\\phantom{120)}\underline{\phantom{99}360\phantom{}}\\\phantom{120)999}40\\\end{array}$$

Since 40 is less than 120, stop the division. The reminder is 40. The topmost line 00333 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 333.

$$\text{Quotient: }333 \text{Reminder: }40$$

Factor

$$\frac{2 ^ {3} \cdot 5 ^ {3}}{3} = 333\frac{1}{3} = 333.3333333333333$$