Solve 1575/75

$$\frac { 1575 } { 75 }$$

Evaluate

$$21$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 1575

$$\begin{array}{l}\phantom{75)}\phantom{1}\\75\overline{)1575}\\\end{array}$$

Since 1 is less than 75, use the next digit 5 from dividend 1575 and add 0 to the quotient

$$\begin{array}{l}\phantom{75)}0\phantom{2}\\75\overline{)1575}\\\end{array}$$

Use the 2^{nd} digit 5 from dividend 1575

$$\begin{array}{l}\phantom{75)}0\phantom{3}\\75\overline{)1575}\\\end{array}$$

Since 15 is less than 75, use the next digit 7 from dividend 1575 and add 0 to the quotient

$$\begin{array}{l}\phantom{75)}00\phantom{4}\\75\overline{)1575}\\\end{array}$$

Use the 3^{rd} digit 7 from dividend 1575

$$\begin{array}{l}\phantom{75)}00\phantom{5}\\75\overline{)1575}\\\end{array}$$

Find closest multiple of 75 to 157. We see that 2 \times 75 = 150 is the nearest. Now subtract 150 from 157 to get reminder 7. Add 2 to quotient.

$$\begin{array}{l}\phantom{75)}002\phantom{6}\\75\overline{)1575}\\\phantom{75)}\underline{\phantom{}150\phantom{9}}\\\phantom{75)99}7\\\end{array}$$

Use the 4^{th} digit 5 from dividend 1575

$$\begin{array}{l}\phantom{75)}002\phantom{7}\\75\overline{)1575}\\\phantom{75)}\underline{\phantom{}150\phantom{9}}\\\phantom{75)99}75\\\end{array}$$

Find closest multiple of 75 to 75. We see that 1 \times 75 = 75 is the nearest. Now subtract 75 from 75 to get reminder 0. Add 1 to quotient.

$$\begin{array}{l}\phantom{75)}0021\phantom{8}\\75\overline{)1575}\\\phantom{75)}\underline{\phantom{}150\phantom{9}}\\\phantom{75)99}75\\\phantom{75)}\underline{\phantom{99}75\phantom{}}\\\phantom{75)9999}0\\\end{array}$$

Since 0 is less than 75, stop the division. The reminder is 0. The topmost line 0021 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 21.

$$\text{Quotient: }21 \text{Reminder: }0$$

Factor

$$3\times 7$$