Solve 12845/39

$$\frac { 12845 } { 39 }$$

Evaluate

$$\frac{12845}{39}\approx 329.358974359$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 12845

$$\begin{array}{l}\phantom{39)}\phantom{1}\\39\overline{)12845}\\\end{array}$$

Since 1 is less than 39, use the next digit 2 from dividend 12845 and add 0 to the quotient

$$\begin{array}{l}\phantom{39)}0\phantom{2}\\39\overline{)12845}\\\end{array}$$

Use the 2^{nd} digit 2 from dividend 12845

$$\begin{array}{l}\phantom{39)}0\phantom{3}\\39\overline{)12845}\\\end{array}$$

Since 12 is less than 39, use the next digit 8 from dividend 12845 and add 0 to the quotient

$$\begin{array}{l}\phantom{39)}00\phantom{4}\\39\overline{)12845}\\\end{array}$$

Use the 3^{rd} digit 8 from dividend 12845

$$\begin{array}{l}\phantom{39)}00\phantom{5}\\39\overline{)12845}\\\end{array}$$

Find closest multiple of 39 to 128. We see that 3 \times 39 = 117 is the nearest. Now subtract 117 from 128 to get reminder 11. Add 3 to quotient.

$$\begin{array}{l}\phantom{39)}003\phantom{6}\\39\overline{)12845}\\\phantom{39)}\underline{\phantom{}117\phantom{99}}\\\phantom{39)9}11\\\end{array}$$

Use the 4^{th} digit 4 from dividend 12845

$$\begin{array}{l}\phantom{39)}003\phantom{7}\\39\overline{)12845}\\\phantom{39)}\underline{\phantom{}117\phantom{99}}\\\phantom{39)9}114\\\end{array}$$

Find closest multiple of 39 to 114. We see that 2 \times 39 = 78 is the nearest. Now subtract 78 from 114 to get reminder 36. Add 2 to quotient.

$$\begin{array}{l}\phantom{39)}0032\phantom{8}\\39\overline{)12845}\\\phantom{39)}\underline{\phantom{}117\phantom{99}}\\\phantom{39)9}114\\\phantom{39)}\underline{\phantom{99}78\phantom{9}}\\\phantom{39)99}36\\\end{array}$$

Use the 5^{th} digit 5 from dividend 12845

$$\begin{array}{l}\phantom{39)}0032\phantom{9}\\39\overline{)12845}\\\phantom{39)}\underline{\phantom{}117\phantom{99}}\\\phantom{39)9}114\\\phantom{39)}\underline{\phantom{99}78\phantom{9}}\\\phantom{39)99}365\\\end{array}$$

Find closest multiple of 39 to 365. We see that 9 \times 39 = 351 is the nearest. Now subtract 351 from 365 to get reminder 14. Add 9 to quotient.

$$\begin{array}{l}\phantom{39)}00329\phantom{10}\\39\overline{)12845}\\\phantom{39)}\underline{\phantom{}117\phantom{99}}\\\phantom{39)9}114\\\phantom{39)}\underline{\phantom{99}78\phantom{9}}\\\phantom{39)99}365\\\phantom{39)}\underline{\phantom{99}351\phantom{}}\\\phantom{39)999}14\\\end{array}$$

Since 14 is less than 39, stop the division. The reminder is 14. The topmost line 00329 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 329.

$$\text{Quotient: }329 \text{Reminder: }14$$

Factor

$$\frac{5 \cdot 7 \cdot 367}{3 \cdot 13} = 329\frac{14}{39} = 329.35897435897436$$