Solve 2145/26

$$\frac { 2145 } { 26 }$$

Evaluate

$$\frac{165}{2}=82.5$$

Steps For Long Division Method

Use the 1^{st} digit 2 from dividend 2145

$$\begin{array}{l}\phantom{26)}\phantom{1}\\26\overline{)2145}\\\end{array}$$

Since 2 is less than 26, use the next digit 1 from dividend 2145 and add 0 to the quotient

$$\begin{array}{l}\phantom{26)}0\phantom{2}\\26\overline{)2145}\\\end{array}$$

Use the 2^{nd} digit 1 from dividend 2145

$$\begin{array}{l}\phantom{26)}0\phantom{3}\\26\overline{)2145}\\\end{array}$$

Since 21 is less than 26, use the next digit 4 from dividend 2145 and add 0 to the quotient

$$\begin{array}{l}\phantom{26)}00\phantom{4}\\26\overline{)2145}\\\end{array}$$

Use the 3^{rd} digit 4 from dividend 2145

$$\begin{array}{l}\phantom{26)}00\phantom{5}\\26\overline{)2145}\\\end{array}$$

Find closest multiple of 26 to 214. We see that 8 \times 26 = 208 is the nearest. Now subtract 208 from 214 to get reminder 6. Add 8 to quotient.

$$\begin{array}{l}\phantom{26)}008\phantom{6}\\26\overline{)2145}\\\phantom{26)}\underline{\phantom{}208\phantom{9}}\\\phantom{26)99}6\\\end{array}$$

Use the 4^{th} digit 5 from dividend 2145

$$\begin{array}{l}\phantom{26)}008\phantom{7}\\26\overline{)2145}\\\phantom{26)}\underline{\phantom{}208\phantom{9}}\\\phantom{26)99}65\\\end{array}$$

Find closest multiple of 26 to 65. We see that 2 \times 26 = 52 is the nearest. Now subtract 52 from 65 to get reminder 13. Add 2 to quotient.

$$\begin{array}{l}\phantom{26)}0082\phantom{8}\\26\overline{)2145}\\\phantom{26)}\underline{\phantom{}208\phantom{9}}\\\phantom{26)99}65\\\phantom{26)}\underline{\phantom{99}52\phantom{}}\\\phantom{26)99}13\\\end{array}$$

Since 13 is less than 26, stop the division. The reminder is 13. The topmost line 0082 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 82.

$$\text{Quotient: }82 \text{Reminder: }13$$

Factor

$$\frac{3 \cdot 5 \cdot 11}{2} = 82\frac{1}{2} = 82.5$$