Solve 11876div39

$$11876 \div 39$$

Evaluate

$$\frac{11876}{39}\approx 304.512820513$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 11876

$$\begin{array}{l}\phantom{39)}\phantom{1}\\39\overline{)11876}\\\end{array}$$

Since 1 is less than 39, use the next digit 1 from dividend 11876 and add 0 to the quotient

$$\begin{array}{l}\phantom{39)}0\phantom{2}\\39\overline{)11876}\\\end{array}$$

Use the 2^{nd} digit 1 from dividend 11876

$$\begin{array}{l}\phantom{39)}0\phantom{3}\\39\overline{)11876}\\\end{array}$$

Since 11 is less than 39, use the next digit 8 from dividend 11876 and add 0 to the quotient

$$\begin{array}{l}\phantom{39)}00\phantom{4}\\39\overline{)11876}\\\end{array}$$

Use the 3^{rd} digit 8 from dividend 11876

$$\begin{array}{l}\phantom{39)}00\phantom{5}\\39\overline{)11876}\\\end{array}$$

Find closest multiple of 39 to 118. We see that 3 \times 39 = 117 is the nearest. Now subtract 117 from 118 to get reminder 1. Add 3 to quotient.

$$\begin{array}{l}\phantom{39)}003\phantom{6}\\39\overline{)11876}\\\phantom{39)}\underline{\phantom{}117\phantom{99}}\\\phantom{39)99}1\\\end{array}$$

Use the 4^{th} digit 7 from dividend 11876

$$\begin{array}{l}\phantom{39)}003\phantom{7}\\39\overline{)11876}\\\phantom{39)}\underline{\phantom{}117\phantom{99}}\\\phantom{39)99}17\\\end{array}$$

Since 17 is less than 39, use the next digit 6 from dividend 11876 and add 0 to the quotient

$$\begin{array}{l}\phantom{39)}0030\phantom{8}\\39\overline{)11876}\\\phantom{39)}\underline{\phantom{}117\phantom{99}}\\\phantom{39)99}17\\\end{array}$$

Use the 5^{th} digit 6 from dividend 11876

$$\begin{array}{l}\phantom{39)}0030\phantom{9}\\39\overline{)11876}\\\phantom{39)}\underline{\phantom{}117\phantom{99}}\\\phantom{39)99}176\\\end{array}$$

Find closest multiple of 39 to 176. We see that 4 \times 39 = 156 is the nearest. Now subtract 156 from 176 to get reminder 20. Add 4 to quotient.

$$\begin{array}{l}\phantom{39)}00304\phantom{10}\\39\overline{)11876}\\\phantom{39)}\underline{\phantom{}117\phantom{99}}\\\phantom{39)99}176\\\phantom{39)}\underline{\phantom{99}156\phantom{}}\\\phantom{39)999}20\\\end{array}$$

Since 20 is less than 39, stop the division. The reminder is 20. The topmost line 00304 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 304.

$$\text{Quotient: }304 \text{Reminder: }20$$

Factor

$$\frac{2 ^ {2} \cdot 2969}{3 \cdot 13} = 304\frac{20}{39} = 304.5128205128205$$