Solve 48000div26

$$48000 \div 26$$

Evaluate

$$\frac{24000}{13}\approx 1846.153846154$$

Steps For Long Division Method

Use the 1^{st} digit 4 from dividend 48000

$$\begin{array}{l}\phantom{26)}\phantom{1}\\26\overline{)48000}\\\end{array}$$

Since 4 is less than 26, use the next digit 8 from dividend 48000 and add 0 to the quotient

$$\begin{array}{l}\phantom{26)}0\phantom{2}\\26\overline{)48000}\\\end{array}$$

Use the 2^{nd} digit 8 from dividend 48000

$$\begin{array}{l}\phantom{26)}0\phantom{3}\\26\overline{)48000}\\\end{array}$$

Find closest multiple of 26 to 48. We see that 1 \times 26 = 26 is the nearest. Now subtract 26 from 48 to get reminder 22. Add 1 to quotient.

$$\begin{array}{l}\phantom{26)}01\phantom{4}\\26\overline{)48000}\\\phantom{26)}\underline{\phantom{}26\phantom{999}}\\\phantom{26)}22\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 48000

$$\begin{array}{l}\phantom{26)}01\phantom{5}\\26\overline{)48000}\\\phantom{26)}\underline{\phantom{}26\phantom{999}}\\\phantom{26)}220\\\end{array}$$

Find closest multiple of 26 to 220. We see that 8 \times 26 = 208 is the nearest. Now subtract 208 from 220 to get reminder 12. Add 8 to quotient.

$$\begin{array}{l}\phantom{26)}018\phantom{6}\\26\overline{)48000}\\\phantom{26)}\underline{\phantom{}26\phantom{999}}\\\phantom{26)}220\\\phantom{26)}\underline{\phantom{}208\phantom{99}}\\\phantom{26)9}12\\\end{array}$$

Use the 4^{th} digit 0 from dividend 48000

$$\begin{array}{l}\phantom{26)}018\phantom{7}\\26\overline{)48000}\\\phantom{26)}\underline{\phantom{}26\phantom{999}}\\\phantom{26)}220\\\phantom{26)}\underline{\phantom{}208\phantom{99}}\\\phantom{26)9}120\\\end{array}$$

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.

$$\begin{array}{l}\phantom{26)}0184\phantom{8}\\26\overline{)48000}\\\phantom{26)}\underline{\phantom{}26\phantom{999}}\\\phantom{26)}220\\\phantom{26)}\underline{\phantom{}208\phantom{99}}\\\phantom{26)9}120\\\phantom{26)}\underline{\phantom{9}104\phantom{9}}\\\phantom{26)99}16\\\end{array}$$

Use the 5^{th} digit 0 from dividend 48000

$$\begin{array}{l}\phantom{26)}0184\phantom{9}\\26\overline{)48000}\\\phantom{26)}\underline{\phantom{}26\phantom{999}}\\\phantom{26)}220\\\phantom{26)}\underline{\phantom{}208\phantom{99}}\\\phantom{26)9}120\\\phantom{26)}\underline{\phantom{9}104\phantom{9}}\\\phantom{26)99}160\\\end{array}$$

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.

$$\begin{array}{l}\phantom{26)}01846\phantom{10}\\26\overline{)48000}\\\phantom{26)}\underline{\phantom{}26\phantom{999}}\\\phantom{26)}220\\\phantom{26)}\underline{\phantom{}208\phantom{99}}\\\phantom{26)9}120\\\phantom{26)}\underline{\phantom{9}104\phantom{9}}\\\phantom{26)99}160\\\phantom{26)}\underline{\phantom{99}156\phantom{}}\\\phantom{26)9999}4\\\end{array}$$

Since 4 is less than 26, stop the division. The reminder is 4. The topmost line 01846 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 1846.

$$\text{Quotient: }1846 \text{Reminder: }4$$

Factor

$$\frac{2 ^ {6} \cdot 3 \cdot 5 ^ {3}}{13} = 1846\frac{2}{13} = 1846.1538461538462$$