Solve 79200/2475

$$\frac{ 79200 }{ 2475 }$$

Evaluate

$$32$$

Steps For Long Division Method

Use the 1^{st} digit 7 from dividend 79200

$$\begin{array}{l}\phantom{2475)}\phantom{1}\\2475\overline{)79200}\\\end{array}$$

Since 7 is less than 2475, use the next digit 9 from dividend 79200 and add 0 to the quotient

$$\begin{array}{l}\phantom{2475)}0\phantom{2}\\2475\overline{)79200}\\\end{array}$$

Use the 2^{nd} digit 9 from dividend 79200

$$\begin{array}{l}\phantom{2475)}0\phantom{3}\\2475\overline{)79200}\\\end{array}$$

Since 79 is less than 2475, use the next digit 2 from dividend 79200 and add 0 to the quotient

$$\begin{array}{l}\phantom{2475)}00\phantom{4}\\2475\overline{)79200}\\\end{array}$$

Use the 3^{rd} digit 2 from dividend 79200

$$\begin{array}{l}\phantom{2475)}00\phantom{5}\\2475\overline{)79200}\\\end{array}$$

Since 792 is less than 2475, use the next digit 0 from dividend 79200 and add 0 to the quotient

$$\begin{array}{l}\phantom{2475)}000\phantom{6}\\2475\overline{)79200}\\\end{array}$$

Use the 4^{th} digit 0 from dividend 79200

$$\begin{array}{l}\phantom{2475)}000\phantom{7}\\2475\overline{)79200}\\\end{array}$$

Find closest multiple of 2475 to 7920. We see that 3 \times 2475 = 7425 is the nearest. Now subtract 7425 from 7920 to get reminder 495. Add 3 to quotient.

$$\begin{array}{l}\phantom{2475)}0003\phantom{8}\\2475\overline{)79200}\\\phantom{2475)}\underline{\phantom{}7425\phantom{9}}\\\phantom{2475)9}495\\\end{array}$$

Use the 5^{th} digit 0 from dividend 79200

$$\begin{array}{l}\phantom{2475)}0003\phantom{9}\\2475\overline{)79200}\\\phantom{2475)}\underline{\phantom{}7425\phantom{9}}\\\phantom{2475)9}4950\\\end{array}$$

Find closest multiple of 2475 to 4950. We see that 2 \times 2475 = 4950 is the nearest. Now subtract 4950 from 4950 to get reminder 0. Add 2 to quotient.

$$\begin{array}{l}\phantom{2475)}00032\phantom{10}\\2475\overline{)79200}\\\phantom{2475)}\underline{\phantom{}7425\phantom{9}}\\\phantom{2475)9}4950\\\phantom{2475)}\underline{\phantom{9}4950\phantom{}}\\\phantom{2475)99999}0\\\end{array}$$

Since 0 is less than 2475, stop the division. The reminder is 0. The topmost line 00032 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

$$2^{5}$$