Solve 13666div275=

$$13666 \div 275=$$

Evaluate

$$\frac{13666}{275}\approx 49.694545455$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 13666

$$\begin{array}{l}\phantom{275)}\phantom{1}\\275\overline{)13666}\\\end{array}$$

Since 1 is less than 275, use the next digit 3 from dividend 13666 and add 0 to the quotient

$$\begin{array}{l}\phantom{275)}0\phantom{2}\\275\overline{)13666}\\\end{array}$$

Use the 2^{nd} digit 3 from dividend 13666

$$\begin{array}{l}\phantom{275)}0\phantom{3}\\275\overline{)13666}\\\end{array}$$

Since 13 is less than 275, use the next digit 6 from dividend 13666 and add 0 to the quotient

$$\begin{array}{l}\phantom{275)}00\phantom{4}\\275\overline{)13666}\\\end{array}$$

Use the 3^{rd} digit 6 from dividend 13666

$$\begin{array}{l}\phantom{275)}00\phantom{5}\\275\overline{)13666}\\\end{array}$$

Since 136 is less than 275, use the next digit 6 from dividend 13666 and add 0 to the quotient

$$\begin{array}{l}\phantom{275)}000\phantom{6}\\275\overline{)13666}\\\end{array}$$

Use the 4^{th} digit 6 from dividend 13666

$$\begin{array}{l}\phantom{275)}000\phantom{7}\\275\overline{)13666}\\\end{array}$$

Find closest multiple of 275 to 1366. We see that 4 \times 275 = 1100 is the nearest. Now subtract 1100 from 1366 to get reminder 266. Add 4 to quotient.

$$\begin{array}{l}\phantom{275)}0004\phantom{8}\\275\overline{)13666}\\\phantom{275)}\underline{\phantom{}1100\phantom{9}}\\\phantom{275)9}266\\\end{array}$$

Use the 5^{th} digit 6 from dividend 13666

$$\begin{array}{l}\phantom{275)}0004\phantom{9}\\275\overline{)13666}\\\phantom{275)}\underline{\phantom{}1100\phantom{9}}\\\phantom{275)9}2666\\\end{array}$$

Find closest multiple of 275 to 2666. We see that 9 \times 275 = 2475 is the nearest. Now subtract 2475 from 2666 to get reminder 191. Add 9 to quotient.

$$\begin{array}{l}\phantom{275)}00049\phantom{10}\\275\overline{)13666}\\\phantom{275)}\underline{\phantom{}1100\phantom{9}}\\\phantom{275)9}2666\\\phantom{275)}\underline{\phantom{9}2475\phantom{}}\\\phantom{275)99}191\\\end{array}$$

Since 191 is less than 275, stop the division. The reminder is 191. The topmost line 00049 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 49.

$$\text{Quotient: }49 \text{Reminder: }191$$

Factor

$$\frac{2 \cdot 6833}{5 ^ {2} \cdot 11} = 49\frac{191}{275} = 49.694545454545455$$