Solve 120000/26

$$\frac { 120000 } { 26 }$$

Evaluate

$$\frac{60000}{13}\approx 4615.384615385$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 120000

$$\begin{array}{l}\phantom{26)}\phantom{1}\\26\overline{)120000}\\\end{array}$$

Since 1 is less than 26, use the next digit 2 from dividend 120000 and add 0 to the quotient

$$\begin{array}{l}\phantom{26)}0\phantom{2}\\26\overline{)120000}\\\end{array}$$

Use the 2^{nd} digit 2 from dividend 120000

$$\begin{array}{l}\phantom{26)}0\phantom{3}\\26\overline{)120000}\\\end{array}$$

Since 12 is less than 26, use the next digit 0 from dividend 120000 and add 0 to the quotient

$$\begin{array}{l}\phantom{26)}00\phantom{4}\\26\overline{)120000}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 120000

$$\begin{array}{l}\phantom{26)}00\phantom{5}\\26\overline{)120000}\\\end{array}$$

Find closest multiple of 26 to 120. We see that 4 \times 26 = 104 is the nearest. Now subtract 104 from 120 to get reminder 16. Add 4 to quotient.

$$\begin{array}{l}\phantom{26)}004\phantom{6}\\26\overline{)120000}\\\phantom{26)}\underline{\phantom{}104\phantom{999}}\\\phantom{26)9}16\\\end{array}$$

Use the 4^{th} digit 0 from dividend 120000

$$\begin{array}{l}\phantom{26)}004\phantom{7}\\26\overline{)120000}\\\phantom{26)}\underline{\phantom{}104\phantom{999}}\\\phantom{26)9}160\\\end{array}$$

Find closest multiple of 26 to 160. We see that 6 \times 26 = 156 is the nearest. Now subtract 156 from 160 to get reminder 4. Add 6 to quotient.

$$\begin{array}{l}\phantom{26)}0046\phantom{8}\\26\overline{)120000}\\\phantom{26)}\underline{\phantom{}104\phantom{999}}\\\phantom{26)9}160\\\phantom{26)}\underline{\phantom{9}156\phantom{99}}\\\phantom{26)999}4\\\end{array}$$

Use the 5^{th} digit 0 from dividend 120000

$$\begin{array}{l}\phantom{26)}0046\phantom{9}\\26\overline{)120000}\\\phantom{26)}\underline{\phantom{}104\phantom{999}}\\\phantom{26)9}160\\\phantom{26)}\underline{\phantom{9}156\phantom{99}}\\\phantom{26)999}40\\\end{array}$$

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.

$$\begin{array}{l}\phantom{26)}00461\phantom{10}\\26\overline{)120000}\\\phantom{26)}\underline{\phantom{}104\phantom{999}}\\\phantom{26)9}160\\\phantom{26)}\underline{\phantom{9}156\phantom{99}}\\\phantom{26)999}40\\\phantom{26)}\underline{\phantom{999}26\phantom{9}}\\\phantom{26)999}14\\\end{array}$$

Use the 6^{th} digit 0 from dividend 120000

$$\begin{array}{l}\phantom{26)}00461\phantom{11}\\26\overline{)120000}\\\phantom{26)}\underline{\phantom{}104\phantom{999}}\\\phantom{26)9}160\\\phantom{26)}\underline{\phantom{9}156\phantom{99}}\\\phantom{26)999}40\\\phantom{26)}\underline{\phantom{999}26\phantom{9}}\\\phantom{26)999}140\\\end{array}$$

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.

$$\begin{array}{l}\phantom{26)}004615\phantom{12}\\26\overline{)120000}\\\phantom{26)}\underline{\phantom{}104\phantom{999}}\\\phantom{26)9}160\\\phantom{26)}\underline{\phantom{9}156\phantom{99}}\\\phantom{26)999}40\\\phantom{26)}\underline{\phantom{999}26\phantom{9}}\\\phantom{26)999}140\\\phantom{26)}\underline{\phantom{999}130\phantom{}}\\\phantom{26)9999}10\\\end{array}$$

Since 10 is less than 26, stop the division. The reminder is 10. The topmost line 004615 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 4615.

$$\text{Quotient: }4615 \text{Reminder: }10$$

Factor

$$\frac{2 ^ {5} \cdot 3 \cdot 5 ^ {4}}{13} = 4615\frac{5}{13} = 4615.384615384615$$