Solve 862/26

$$\frac { 862 } { 26 }$$

Evaluate

$$\frac{431}{13}\approx 33.153846154$$

Steps For Long Division Method

Use the 1^{st} digit 8 from dividend 862

$$\begin{array}{l}\phantom{26)}\phantom{1}\\26\overline{)862}\\\end{array}$$

Since 8 is less than 26, use the next digit 6 from dividend 862 and add 0 to the quotient

$$\begin{array}{l}\phantom{26)}0\phantom{2}\\26\overline{)862}\\\end{array}$$

Use the 2^{nd} digit 6 from dividend 862

$$\begin{array}{l}\phantom{26)}0\phantom{3}\\26\overline{)862}\\\end{array}$$

Find closest multiple of 26 to 86. We see that 3 \times 26 = 78 is the nearest. Now subtract 78 from 86 to get reminder 8. Add 3 to quotient.

$$\begin{array}{l}\phantom{26)}03\phantom{4}\\26\overline{)862}\\\phantom{26)}\underline{\phantom{}78\phantom{9}}\\\phantom{26)9}8\\\end{array}$$

Use the 3^{rd} digit 2 from dividend 862

$$\begin{array}{l}\phantom{26)}03\phantom{5}\\26\overline{)862}\\\phantom{26)}\underline{\phantom{}78\phantom{9}}\\\phantom{26)9}82\\\end{array}$$

Find closest multiple of 26 to 82. We see that 3 \times 26 = 78 is the nearest. Now subtract 78 from 82 to get reminder 4. Add 3 to quotient.

$$\begin{array}{l}\phantom{26)}033\phantom{6}\\26\overline{)862}\\\phantom{26)}\underline{\phantom{}78\phantom{9}}\\\phantom{26)9}82\\\phantom{26)}\underline{\phantom{9}78\phantom{}}\\\phantom{26)99}4\\\end{array}$$

Since 4 is less than 26, stop the division. The reminder is 4. The topmost line 033 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 33.

$$\text{Quotient: }33 \text{Reminder: }4$$

Factor

$$\frac{431}{13} = 33\frac{2}{13} = 33.15384615384615$$