Solve 14343/31

$$\frac { 14343 } { 31 }$$

Evaluate

$$\frac{14343}{31}\approx 462.677419355$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 14343

$$\begin{array}{l}\phantom{31)}\phantom{1}\\31\overline{)14343}\\\end{array}$$

Since 1 is less than 31, use the next digit 4 from dividend 14343 and add 0 to the quotient

$$\begin{array}{l}\phantom{31)}0\phantom{2}\\31\overline{)14343}\\\end{array}$$

Use the 2^{nd} digit 4 from dividend 14343

$$\begin{array}{l}\phantom{31)}0\phantom{3}\\31\overline{)14343}\\\end{array}$$

Since 14 is less than 31, use the next digit 3 from dividend 14343 and add 0 to the quotient

$$\begin{array}{l}\phantom{31)}00\phantom{4}\\31\overline{)14343}\\\end{array}$$

Use the 3^{rd} digit 3 from dividend 14343

$$\begin{array}{l}\phantom{31)}00\phantom{5}\\31\overline{)14343}\\\end{array}$$

Find closest multiple of 31 to 143. We see that 4 \times 31 = 124 is the nearest. Now subtract 124 from 143 to get reminder 19. Add 4 to quotient.

$$\begin{array}{l}\phantom{31)}004\phantom{6}\\31\overline{)14343}\\\phantom{31)}\underline{\phantom{}124\phantom{99}}\\\phantom{31)9}19\\\end{array}$$

Use the 4^{th} digit 4 from dividend 14343

$$\begin{array}{l}\phantom{31)}004\phantom{7}\\31\overline{)14343}\\\phantom{31)}\underline{\phantom{}124\phantom{99}}\\\phantom{31)9}194\\\end{array}$$

Find closest multiple of 31 to 194. We see that 6 \times 31 = 186 is the nearest. Now subtract 186 from 194 to get reminder 8. Add 6 to quotient.

$$\begin{array}{l}\phantom{31)}0046\phantom{8}\\31\overline{)14343}\\\phantom{31)}\underline{\phantom{}124\phantom{99}}\\\phantom{31)9}194\\\phantom{31)}\underline{\phantom{9}186\phantom{9}}\\\phantom{31)999}8\\\end{array}$$

Use the 5^{th} digit 3 from dividend 14343

$$\begin{array}{l}\phantom{31)}0046\phantom{9}\\31\overline{)14343}\\\phantom{31)}\underline{\phantom{}124\phantom{99}}\\\phantom{31)9}194\\\phantom{31)}\underline{\phantom{9}186\phantom{9}}\\\phantom{31)999}83\\\end{array}$$

Find closest multiple of 31 to 83. We see that 2 \times 31 = 62 is the nearest. Now subtract 62 from 83 to get reminder 21. Add 2 to quotient.

$$\begin{array}{l}\phantom{31)}00462\phantom{10}\\31\overline{)14343}\\\phantom{31)}\underline{\phantom{}124\phantom{99}}\\\phantom{31)9}194\\\phantom{31)}\underline{\phantom{9}186\phantom{9}}\\\phantom{31)999}83\\\phantom{31)}\underline{\phantom{999}62\phantom{}}\\\phantom{31)999}21\\\end{array}$$

Since 21 is less than 31, stop the division. The reminder is 21. The topmost line 00462 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 462.

$$\text{Quotient: }462 \text{Reminder: }21$$

Factor

$$\frac{3 \cdot 7 \cdot 683}{31} = 462\frac{21}{31} = 462.6774193548387$$