Solve 28125/75

$$28125 / 75$$

Evaluate

$$375$$

Steps For Long Division Method

Use the 1^{st} digit 2 from dividend 28125

$$\begin{array}{l}\phantom{75)}\phantom{1}\\75\overline{)28125}\\\end{array}$$

Since 2 is less than 75, use the next digit 8 from dividend 28125 and add 0 to the quotient

$$\begin{array}{l}\phantom{75)}0\phantom{2}\\75\overline{)28125}\\\end{array}$$

Use the 2^{nd} digit 8 from dividend 28125

$$\begin{array}{l}\phantom{75)}0\phantom{3}\\75\overline{)28125}\\\end{array}$$

Since 28 is less than 75, use the next digit 1 from dividend 28125 and add 0 to the quotient

$$\begin{array}{l}\phantom{75)}00\phantom{4}\\75\overline{)28125}\\\end{array}$$

Use the 3^{rd} digit 1 from dividend 28125

$$\begin{array}{l}\phantom{75)}00\phantom{5}\\75\overline{)28125}\\\end{array}$$

Find closest multiple of 75 to 281. We see that 3 \times 75 = 225 is the nearest. Now subtract 225 from 281 to get reminder 56. Add 3 to quotient.

$$\begin{array}{l}\phantom{75)}003\phantom{6}\\75\overline{)28125}\\\phantom{75)}\underline{\phantom{}225\phantom{99}}\\\phantom{75)9}56\\\end{array}$$

Use the 4^{th} digit 2 from dividend 28125

$$\begin{array}{l}\phantom{75)}003\phantom{7}\\75\overline{)28125}\\\phantom{75)}\underline{\phantom{}225\phantom{99}}\\\phantom{75)9}562\\\end{array}$$

Find closest multiple of 75 to 562. We see that 7 \times 75 = 525 is the nearest. Now subtract 525 from 562 to get reminder 37. Add 7 to quotient.

$$\begin{array}{l}\phantom{75)}0037\phantom{8}\\75\overline{)28125}\\\phantom{75)}\underline{\phantom{}225\phantom{99}}\\\phantom{75)9}562\\\phantom{75)}\underline{\phantom{9}525\phantom{9}}\\\phantom{75)99}37\\\end{array}$$

Use the 5^{th} digit 5 from dividend 28125

$$\begin{array}{l}\phantom{75)}0037\phantom{9}\\75\overline{)28125}\\\phantom{75)}\underline{\phantom{}225\phantom{99}}\\\phantom{75)9}562\\\phantom{75)}\underline{\phantom{9}525\phantom{9}}\\\phantom{75)99}375\\\end{array}$$

Find closest multiple of 75 to 375. We see that 5 \times 75 = 375 is the nearest. Now subtract 375 from 375 to get reminder 0. Add 5 to quotient.

$$\begin{array}{l}\phantom{75)}00375\phantom{10}\\75\overline{)28125}\\\phantom{75)}\underline{\phantom{}225\phantom{99}}\\\phantom{75)9}562\\\phantom{75)}\underline{\phantom{9}525\phantom{9}}\\\phantom{75)99}375\\\phantom{75)}\underline{\phantom{99}375\phantom{}}\\\phantom{75)99999}0\\\end{array}$$

Since 0 is less than 75, stop the division. The reminder is 0. The topmost line 00375 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 375.

$$\text{Quotient: }375 \text{Reminder: }0$$

Factor

$$3\times 5^{3}$$