Solve 7836div26

$$7836 \div 26$$

Evaluate

$$\frac{3918}{13}\approx 301.384615385$$

Steps For Long Division Method

Use the 1^{st} digit 7 from dividend 7836

$$\begin{array}{l}\phantom{26)}\phantom{1}\\26\overline{)7836}\\\end{array}$$

Since 7 is less than 26, use the next digit 8 from dividend 7836 and add 0 to the quotient

$$\begin{array}{l}\phantom{26)}0\phantom{2}\\26\overline{)7836}\\\end{array}$$

Use the 2^{nd} digit 8 from dividend 7836

$$\begin{array}{l}\phantom{26)}0\phantom{3}\\26\overline{)7836}\\\end{array}$$

Find closest multiple of 26 to 78. We see that 3 \times 26 = 78 is the nearest. Now subtract 78 from 78 to get reminder 0. Add 3 to quotient.

$$\begin{array}{l}\phantom{26)}03\phantom{4}\\26\overline{)7836}\\\phantom{26)}\underline{\phantom{}78\phantom{99}}\\\phantom{26)99}0\\\end{array}$$

Use the 3^{rd} digit 3 from dividend 7836

$$\begin{array}{l}\phantom{26)}03\phantom{5}\\26\overline{)7836}\\\phantom{26)}\underline{\phantom{}78\phantom{99}}\\\phantom{26)99}3\\\end{array}$$

Since 3 is less than 26, use the next digit 6 from dividend 7836 and add 0 to the quotient

$$\begin{array}{l}\phantom{26)}030\phantom{6}\\26\overline{)7836}\\\phantom{26)}\underline{\phantom{}78\phantom{99}}\\\phantom{26)99}3\\\end{array}$$

Use the 4^{th} digit 6 from dividend 7836

$$\begin{array}{l}\phantom{26)}030\phantom{7}\\26\overline{)7836}\\\phantom{26)}\underline{\phantom{}78\phantom{99}}\\\phantom{26)99}36\\\end{array}$$

Find closest multiple of 26 to 36. We see that 1 \times 26 = 26 is the nearest. Now subtract 26 from 36 to get reminder 10. Add 1 to quotient.

$$\begin{array}{l}\phantom{26)}0301\phantom{8}\\26\overline{)7836}\\\phantom{26)}\underline{\phantom{}78\phantom{99}}\\\phantom{26)99}36\\\phantom{26)}\underline{\phantom{99}26\phantom{}}\\\phantom{26)99}10\\\end{array}$$

Since 10 is less than 26, stop the division. The reminder is 10. The topmost line 0301 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 301.

$$\text{Quotient: }301 \text{Reminder: }10$$

Factor

$$\frac{2 \cdot 3 \cdot 653}{13} = 301\frac{5}{13} = 301.38461538461536$$