Solve 14186div13

$$14186 \div 13$$

Evaluate

$$\frac{14186}{13}\approx 1091.230769231$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 14186

$$\begin{array}{l}\phantom{13)}\phantom{1}\\13\overline{)14186}\\\end{array}$$

Since 1 is less than 13, use the next digit 4 from dividend 14186 and add 0 to the quotient

$$\begin{array}{l}\phantom{13)}0\phantom{2}\\13\overline{)14186}\\\end{array}$$

Use the 2^{nd} digit 4 from dividend 14186

$$\begin{array}{l}\phantom{13)}0\phantom{3}\\13\overline{)14186}\\\end{array}$$

Find closest multiple of 13 to 14. We see that 1 \times 13 = 13 is the nearest. Now subtract 13 from 14 to get reminder 1. Add 1 to quotient.

$$\begin{array}{l}\phantom{13)}01\phantom{4}\\13\overline{)14186}\\\phantom{13)}\underline{\phantom{}13\phantom{999}}\\\phantom{13)9}1\\\end{array}$$

Use the 3^{rd} digit 1 from dividend 14186

$$\begin{array}{l}\phantom{13)}01\phantom{5}\\13\overline{)14186}\\\phantom{13)}\underline{\phantom{}13\phantom{999}}\\\phantom{13)9}11\\\end{array}$$

Since 11 is less than 13, use the next digit 8 from dividend 14186 and add 0 to the quotient

$$\begin{array}{l}\phantom{13)}010\phantom{6}\\13\overline{)14186}\\\phantom{13)}\underline{\phantom{}13\phantom{999}}\\\phantom{13)9}11\\\end{array}$$

Use the 4^{th} digit 8 from dividend 14186

$$\begin{array}{l}\phantom{13)}010\phantom{7}\\13\overline{)14186}\\\phantom{13)}\underline{\phantom{}13\phantom{999}}\\\phantom{13)9}118\\\end{array}$$

Find closest multiple of 13 to 118. We see that 9 \times 13 = 117 is the nearest. Now subtract 117 from 118 to get reminder 1. Add 9 to quotient.

$$\begin{array}{l}\phantom{13)}0109\phantom{8}\\13\overline{)14186}\\\phantom{13)}\underline{\phantom{}13\phantom{999}}\\\phantom{13)9}118\\\phantom{13)}\underline{\phantom{9}117\phantom{9}}\\\phantom{13)999}1\\\end{array}$$

Use the 5^{th} digit 6 from dividend 14186

$$\begin{array}{l}\phantom{13)}0109\phantom{9}\\13\overline{)14186}\\\phantom{13)}\underline{\phantom{}13\phantom{999}}\\\phantom{13)9}118\\\phantom{13)}\underline{\phantom{9}117\phantom{9}}\\\phantom{13)999}16\\\end{array}$$

Find closest multiple of 13 to 16. We see that 1 \times 13 = 13 is the nearest. Now subtract 13 from 16 to get reminder 3. Add 1 to quotient.

$$\begin{array}{l}\phantom{13)}01091\phantom{10}\\13\overline{)14186}\\\phantom{13)}\underline{\phantom{}13\phantom{999}}\\\phantom{13)9}118\\\phantom{13)}\underline{\phantom{9}117\phantom{9}}\\\phantom{13)999}16\\\phantom{13)}\underline{\phantom{999}13\phantom{}}\\\phantom{13)9999}3\\\end{array}$$

Since 3 is less than 13, stop the division. The reminder is 3. The topmost line 01091 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 1091.

$$\text{Quotient: }1091 \text{Reminder: }3$$

Factor

$$\frac{2 \cdot 41 \cdot 173}{13} = 1091\frac{3}{13} = 1091.2307692307693$$