Solve 27426div26

$$27426 \div 26$$

Evaluate

$$\frac{13713}{13}\approx 1054.846153846$$

Steps For Long Division Method

Use the 1^{st} digit 2 from dividend 27426

$$\begin{array}{l}\phantom{26)}\phantom{1}\\26\overline{)27426}\\\end{array}$$

Since 2 is less than 26, use the next digit 7 from dividend 27426 and add 0 to the quotient

$$\begin{array}{l}\phantom{26)}0\phantom{2}\\26\overline{)27426}\\\end{array}$$

Use the 2^{nd} digit 7 from dividend 27426

$$\begin{array}{l}\phantom{26)}0\phantom{3}\\26\overline{)27426}\\\end{array}$$

Find closest multiple of 26 to 27. We see that 1 \times 26 = 26 is the nearest. Now subtract 26 from 27 to get reminder 1. Add 1 to quotient.

$$\begin{array}{l}\phantom{26)}01\phantom{4}\\26\overline{)27426}\\\phantom{26)}\underline{\phantom{}26\phantom{999}}\\\phantom{26)9}1\\\end{array}$$

Use the 3^{rd} digit 4 from dividend 27426

$$\begin{array}{l}\phantom{26)}01\phantom{5}\\26\overline{)27426}\\\phantom{26)}\underline{\phantom{}26\phantom{999}}\\\phantom{26)9}14\\\end{array}$$

Since 14 is less than 26, use the next digit 2 from dividend 27426 and add 0 to the quotient

$$\begin{array}{l}\phantom{26)}010\phantom{6}\\26\overline{)27426}\\\phantom{26)}\underline{\phantom{}26\phantom{999}}\\\phantom{26)9}14\\\end{array}$$

Use the 4^{th} digit 2 from dividend 27426

$$\begin{array}{l}\phantom{26)}010\phantom{7}\\26\overline{)27426}\\\phantom{26)}\underline{\phantom{}26\phantom{999}}\\\phantom{26)9}142\\\end{array}$$

Find closest multiple of 26 to 142. We see that 5 \times 26 = 130 is the nearest. Now subtract 130 from 142 to get reminder 12. Add 5 to quotient.

$$\begin{array}{l}\phantom{26)}0105\phantom{8}\\26\overline{)27426}\\\phantom{26)}\underline{\phantom{}26\phantom{999}}\\\phantom{26)9}142\\\phantom{26)}\underline{\phantom{9}130\phantom{9}}\\\phantom{26)99}12\\\end{array}$$

Use the 5^{th} digit 6 from dividend 27426

$$\begin{array}{l}\phantom{26)}0105\phantom{9}\\26\overline{)27426}\\\phantom{26)}\underline{\phantom{}26\phantom{999}}\\\phantom{26)9}142\\\phantom{26)}\underline{\phantom{9}130\phantom{9}}\\\phantom{26)99}126\\\end{array}$$

Find closest multiple of 26 to 126. We see that 4 \times 26 = 104 is the nearest. Now subtract 104 from 126 to get reminder 22. Add 4 to quotient.

$$\begin{array}{l}\phantom{26)}01054\phantom{10}\\26\overline{)27426}\\\phantom{26)}\underline{\phantom{}26\phantom{999}}\\\phantom{26)9}142\\\phantom{26)}\underline{\phantom{9}130\phantom{9}}\\\phantom{26)99}126\\\phantom{26)}\underline{\phantom{99}104\phantom{}}\\\phantom{26)999}22\\\end{array}$$

Since 22 is less than 26, stop the division. The reminder is 22. The topmost line 01054 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 1054.

$$\text{Quotient: }1054 \text{Reminder: }22$$

Factor

$$\frac{3 \cdot 7 \cdot 653}{13} = 1054\frac{11}{13} = 1054.8461538461538$$