Solve 9826div26

$$9826 \div 26$$

Evaluate

$$\frac{4913}{13}\approx 377.923076923$$

Steps For Long Division Method

Use the 1^{st} digit 9 from dividend 9826

$$\begin{array}{l}\phantom{26)}\phantom{1}\\26\overline{)9826}\\\end{array}$$

Since 9 is less than 26, use the next digit 8 from dividend 9826 and add 0 to the quotient

$$\begin{array}{l}\phantom{26)}0\phantom{2}\\26\overline{)9826}\\\end{array}$$

Use the 2^{nd} digit 8 from dividend 9826

$$\begin{array}{l}\phantom{26)}0\phantom{3}\\26\overline{)9826}\\\end{array}$$

Find closest multiple of 26 to 98. We see that 3 \times 26 = 78 is the nearest. Now subtract 78 from 98 to get reminder 20. Add 3 to quotient.

$$\begin{array}{l}\phantom{26)}03\phantom{4}\\26\overline{)9826}\\\phantom{26)}\underline{\phantom{}78\phantom{99}}\\\phantom{26)}20\\\end{array}$$

Use the 3^{rd} digit 2 from dividend 9826

$$\begin{array}{l}\phantom{26)}03\phantom{5}\\26\overline{)9826}\\\phantom{26)}\underline{\phantom{}78\phantom{99}}\\\phantom{26)}202\\\end{array}$$

Find closest multiple of 26 to 202. We see that 7 \times 26 = 182 is the nearest. Now subtract 182 from 202 to get reminder 20. Add 7 to quotient.

$$\begin{array}{l}\phantom{26)}037\phantom{6}\\26\overline{)9826}\\\phantom{26)}\underline{\phantom{}78\phantom{99}}\\\phantom{26)}202\\\phantom{26)}\underline{\phantom{}182\phantom{9}}\\\phantom{26)9}20\\\end{array}$$

Use the 4^{th} digit 6 from dividend 9826

$$\begin{array}{l}\phantom{26)}037\phantom{7}\\26\overline{)9826}\\\phantom{26)}\underline{\phantom{}78\phantom{99}}\\\phantom{26)}202\\\phantom{26)}\underline{\phantom{}182\phantom{9}}\\\phantom{26)9}206\\\end{array}$$

Find closest multiple of 26 to 206. We see that 7 \times 26 = 182 is the nearest. Now subtract 182 from 206 to get reminder 24. Add 7 to quotient.

$$\begin{array}{l}\phantom{26)}0377\phantom{8}\\26\overline{)9826}\\\phantom{26)}\underline{\phantom{}78\phantom{99}}\\\phantom{26)}202\\\phantom{26)}\underline{\phantom{}182\phantom{9}}\\\phantom{26)9}206\\\phantom{26)}\underline{\phantom{9}182\phantom{}}\\\phantom{26)99}24\\\end{array}$$

Since 24 is less than 26, stop the division. The reminder is 24. The topmost line 0377 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 377.

$$\text{Quotient: }377 \text{Reminder: }24$$

Factor

$$\frac{17 ^ {3}}{13} = 377\frac{12}{13} = 377.9230769230769$$