Solve 4000div26

$$4000 \div 26$$

Evaluate

$$\frac{2000}{13}\approx 153.846153846$$

Steps For Long Division Method

Use the 1^{st} digit 4 from dividend 4000

$$\begin{array}{l}\phantom{26)}\phantom{1}\\26\overline{)4000}\\\end{array}$$

Since 4 is less than 26, use the next digit 0 from dividend 4000 and add 0 to the quotient

$$\begin{array}{l}\phantom{26)}0\phantom{2}\\26\overline{)4000}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 4000

$$\begin{array}{l}\phantom{26)}0\phantom{3}\\26\overline{)4000}\\\end{array}$$

Find closest multiple of 26 to 40. We see that 1 \times 26 = 26 is the nearest. Now subtract 26 from 40 to get reminder 14. Add 1 to quotient.

$$\begin{array}{l}\phantom{26)}01\phantom{4}\\26\overline{)4000}\\\phantom{26)}\underline{\phantom{}26\phantom{99}}\\\phantom{26)}14\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 4000

$$\begin{array}{l}\phantom{26)}01\phantom{5}\\26\overline{)4000}\\\phantom{26)}\underline{\phantom{}26\phantom{99}}\\\phantom{26)}140\\\end{array}$$

Find closest multiple of 26 to 140. We see that 5 \times 26 = 130 is the nearest. Now subtract 130 from 140 to get reminder 10. Add 5 to quotient.

$$\begin{array}{l}\phantom{26)}015\phantom{6}\\26\overline{)4000}\\\phantom{26)}\underline{\phantom{}26\phantom{99}}\\\phantom{26)}140\\\phantom{26)}\underline{\phantom{}130\phantom{9}}\\\phantom{26)9}10\\\end{array}$$

Use the 4^{th} digit 0 from dividend 4000

$$\begin{array}{l}\phantom{26)}015\phantom{7}\\26\overline{)4000}\\\phantom{26)}\underline{\phantom{}26\phantom{99}}\\\phantom{26)}140\\\phantom{26)}\underline{\phantom{}130\phantom{9}}\\\phantom{26)9}100\\\end{array}$$

Find closest multiple of 26 to 100. We see that 3 \times 26 = 78 is the nearest. Now subtract 78 from 100 to get reminder 22. Add 3 to quotient.

$$\begin{array}{l}\phantom{26)}0153\phantom{8}\\26\overline{)4000}\\\phantom{26)}\underline{\phantom{}26\phantom{99}}\\\phantom{26)}140\\\phantom{26)}\underline{\phantom{}130\phantom{9}}\\\phantom{26)9}100\\\phantom{26)}\underline{\phantom{99}78\phantom{}}\\\phantom{26)99}22\\\end{array}$$

Since 22 is less than 26, stop the division. The reminder is 22. The topmost line 0153 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 153.

$$\text{Quotient: }153 \text{Reminder: }22$$

Factor

$$\frac{2 ^ {4} \cdot 5 ^ {3}}{13} = 153\frac{11}{13} = 153.84615384615384$$