Solve 26638/1877

$$\frac{ 26638 }{ 1877 }$$

Evaluate

$$\frac{26638}{1877}\approx 14.191795418$$

Steps For Long Division Method

Use the 1^{st} digit 2 from dividend 26638

$$\begin{array}{l}\phantom{1877)}\phantom{1}\\1877\overline{)26638}\\\end{array}$$

Since 2 is less than 1877, use the next digit 6 from dividend 26638 and add 0 to the quotient

$$\begin{array}{l}\phantom{1877)}0\phantom{2}\\1877\overline{)26638}\\\end{array}$$

Use the 2^{nd} digit 6 from dividend 26638

$$\begin{array}{l}\phantom{1877)}0\phantom{3}\\1877\overline{)26638}\\\end{array}$$

Since 26 is less than 1877, use the next digit 6 from dividend 26638 and add 0 to the quotient

$$\begin{array}{l}\phantom{1877)}00\phantom{4}\\1877\overline{)26638}\\\end{array}$$

Use the 3^{rd} digit 6 from dividend 26638

$$\begin{array}{l}\phantom{1877)}00\phantom{5}\\1877\overline{)26638}\\\end{array}$$

Since 266 is less than 1877, use the next digit 3 from dividend 26638 and add 0 to the quotient

$$\begin{array}{l}\phantom{1877)}000\phantom{6}\\1877\overline{)26638}\\\end{array}$$

Use the 4^{th} digit 3 from dividend 26638

$$\begin{array}{l}\phantom{1877)}000\phantom{7}\\1877\overline{)26638}\\\end{array}$$

Find closest multiple of 1877 to 2663. We see that 1 \times 1877 = 1877 is the nearest. Now subtract 1877 from 2663 to get reminder 786. Add 1 to quotient.

$$\begin{array}{l}\phantom{1877)}0001\phantom{8}\\1877\overline{)26638}\\\phantom{1877)}\underline{\phantom{}1877\phantom{9}}\\\phantom{1877)9}786\\\end{array}$$

Use the 5^{th} digit 8 from dividend 26638

$$\begin{array}{l}\phantom{1877)}0001\phantom{9}\\1877\overline{)26638}\\\phantom{1877)}\underline{\phantom{}1877\phantom{9}}\\\phantom{1877)9}7868\\\end{array}$$

Find closest multiple of 1877 to 7868. We see that 4 \times 1877 = 7508 is the nearest. Now subtract 7508 from 7868 to get reminder 360. Add 4 to quotient.

$$\begin{array}{l}\phantom{1877)}00014\phantom{10}\\1877\overline{)26638}\\\phantom{1877)}\underline{\phantom{}1877\phantom{9}}\\\phantom{1877)9}7868\\\phantom{1877)}\underline{\phantom{9}7508\phantom{}}\\\phantom{1877)99}360\\\end{array}$$

Since 360 is less than 1877, stop the division. The reminder is 360. The topmost line 00014 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 14.

$$\text{Quotient: }14 \text{Reminder: }360$$

Factor

$$\frac{2 \cdot 19 \cdot 701}{1877} = 14\frac{360}{1877} = 14.191795418220565$$