Solve 261/12

$$\frac { 261 } { 12 }$$

Evaluate

$$\frac{87}{4}=21.75$$

Steps For Long Division Method

Use the 1^{st} digit 2 from dividend 261

$$\begin{array}{l}\phantom{12)}\phantom{1}\\12\overline{)261}\\\end{array}$$

Since 2 is less than 12, use the next digit 6 from dividend 261 and add 0 to the quotient

$$\begin{array}{l}\phantom{12)}0\phantom{2}\\12\overline{)261}\\\end{array}$$

Use the 2^{nd} digit 6 from dividend 261

$$\begin{array}{l}\phantom{12)}0\phantom{3}\\12\overline{)261}\\\end{array}$$

Find closest multiple of 12 to 26. We see that 2 \times 12 = 24 is the nearest. Now subtract 24 from 26 to get reminder 2. Add 2 to quotient.

$$\begin{array}{l}\phantom{12)}02\phantom{4}\\12\overline{)261}\\\phantom{12)}\underline{\phantom{}24\phantom{9}}\\\phantom{12)9}2\\\end{array}$$

Use the 3^{rd} digit 1 from dividend 261

$$\begin{array}{l}\phantom{12)}02\phantom{5}\\12\overline{)261}\\\phantom{12)}\underline{\phantom{}24\phantom{9}}\\\phantom{12)9}21\\\end{array}$$

Find closest multiple of 12 to 21. We see that 1 \times 12 = 12 is the nearest. Now subtract 12 from 21 to get reminder 9. Add 1 to quotient.

$$\begin{array}{l}\phantom{12)}021\phantom{6}\\12\overline{)261}\\\phantom{12)}\underline{\phantom{}24\phantom{9}}\\\phantom{12)9}21\\\phantom{12)}\underline{\phantom{9}12\phantom{}}\\\phantom{12)99}9\\\end{array}$$

Since 9 is less than 12, stop the division. The reminder is 9. The topmost line 021 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 21.

$$\text{Quotient: }21 \text{Reminder: }9$$

Factor

$$\frac{3 \cdot 29}{2 ^ {2}} = 21\frac{3}{4} = 21.75$$