Solve 2400div75

$$2400 \div 75$$

Evaluate

$$32$$

Steps For Long Division Method

Use the 1^{st} digit 2 from dividend 2400

$$\begin{array}{l}\phantom{75)}\phantom{1}\\75\overline{)2400}\\\end{array}$$

Since 2 is less than 75, use the next digit 4 from dividend 2400 and add 0 to the quotient

$$\begin{array}{l}\phantom{75)}0\phantom{2}\\75\overline{)2400}\\\end{array}$$

Use the 2^{nd} digit 4 from dividend 2400

$$\begin{array}{l}\phantom{75)}0\phantom{3}\\75\overline{)2400}\\\end{array}$$

Since 24 is less than 75, use the next digit 0 from dividend 2400 and add 0 to the quotient

$$\begin{array}{l}\phantom{75)}00\phantom{4}\\75\overline{)2400}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 2400

$$\begin{array}{l}\phantom{75)}00\phantom{5}\\75\overline{)2400}\\\end{array}$$

Find closest multiple of 75 to 240. We see that 3 \times 75 = 225 is the nearest. Now subtract 225 from 240 to get reminder 15. Add 3 to quotient.

$$\begin{array}{l}\phantom{75)}003\phantom{6}\\75\overline{)2400}\\\phantom{75)}\underline{\phantom{}225\phantom{9}}\\\phantom{75)9}15\\\end{array}$$

Use the 4^{th} digit 0 from dividend 2400

$$\begin{array}{l}\phantom{75)}003\phantom{7}\\75\overline{)2400}\\\phantom{75)}\underline{\phantom{}225\phantom{9}}\\\phantom{75)9}150\\\end{array}$$

Find closest multiple of 75 to 150. We see that 2 \times 75 = 150 is the nearest. Now subtract 150 from 150 to get reminder 0. Add 2 to quotient.

$$\begin{array}{l}\phantom{75)}0032\phantom{8}\\75\overline{)2400}\\\phantom{75)}\underline{\phantom{}225\phantom{9}}\\\phantom{75)9}150\\\phantom{75)}\underline{\phantom{9}150\phantom{}}\\\phantom{75)9999}0\\\end{array}$$

Since 0 is less than 75, stop the division. The reminder is 0. The topmost line 0032 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 32.

$$\text{Quotient: }32 \text{Reminder: }0$$

Factor

$$2^{5}$$