Solve 19,236/58

$$\frac { 19,236 } { 58 }$$

Evaluate

$$\frac{9618}{29}\approx 331.655172414$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 19236

$$\begin{array}{l}\phantom{58)}\phantom{1}\\58\overline{)19236}\\\end{array}$$

Since 1 is less than 58, use the next digit 9 from dividend 19236 and add 0 to the quotient

$$\begin{array}{l}\phantom{58)}0\phantom{2}\\58\overline{)19236}\\\end{array}$$

Use the 2^{nd} digit 9 from dividend 19236

$$\begin{array}{l}\phantom{58)}0\phantom{3}\\58\overline{)19236}\\\end{array}$$

Since 19 is less than 58, use the next digit 2 from dividend 19236 and add 0 to the quotient

$$\begin{array}{l}\phantom{58)}00\phantom{4}\\58\overline{)19236}\\\end{array}$$

Use the 3^{rd} digit 2 from dividend 19236

$$\begin{array}{l}\phantom{58)}00\phantom{5}\\58\overline{)19236}\\\end{array}$$

Find closest multiple of 58 to 192. We see that 3 \times 58 = 174 is the nearest. Now subtract 174 from 192 to get reminder 18. Add 3 to quotient.

$$\begin{array}{l}\phantom{58)}003\phantom{6}\\58\overline{)19236}\\\phantom{58)}\underline{\phantom{}174\phantom{99}}\\\phantom{58)9}18\\\end{array}$$

Use the 4^{th} digit 3 from dividend 19236

$$\begin{array}{l}\phantom{58)}003\phantom{7}\\58\overline{)19236}\\\phantom{58)}\underline{\phantom{}174\phantom{99}}\\\phantom{58)9}183\\\end{array}$$

Find closest multiple of 58 to 183. We see that 3 \times 58 = 174 is the nearest. Now subtract 174 from 183 to get reminder 9. Add 3 to quotient.

$$\begin{array}{l}\phantom{58)}0033\phantom{8}\\58\overline{)19236}\\\phantom{58)}\underline{\phantom{}174\phantom{99}}\\\phantom{58)9}183\\\phantom{58)}\underline{\phantom{9}174\phantom{9}}\\\phantom{58)999}9\\\end{array}$$

Use the 5^{th} digit 6 from dividend 19236

$$\begin{array}{l}\phantom{58)}0033\phantom{9}\\58\overline{)19236}\\\phantom{58)}\underline{\phantom{}174\phantom{99}}\\\phantom{58)9}183\\\phantom{58)}\underline{\phantom{9}174\phantom{9}}\\\phantom{58)999}96\\\end{array}$$

Find closest multiple of 58 to 96. We see that 1 \times 58 = 58 is the nearest. Now subtract 58 from 96 to get reminder 38. Add 1 to quotient.

$$\begin{array}{l}\phantom{58)}00331\phantom{10}\\58\overline{)19236}\\\phantom{58)}\underline{\phantom{}174\phantom{99}}\\\phantom{58)9}183\\\phantom{58)}\underline{\phantom{9}174\phantom{9}}\\\phantom{58)999}96\\\phantom{58)}\underline{\phantom{999}58\phantom{}}\\\phantom{58)999}38\\\end{array}$$

Since 38 is less than 58, stop the division. The reminder is 38. The topmost line 00331 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 331.

$$\text{Quotient: }331 \text{Reminder: }38$$

Factor

$$\frac{2 \cdot 3 \cdot 7 \cdot 229}{29} = 331\frac{19}{29} = 331.6551724137931$$