Solve 226981div135

$$226981 \div 135$$

Evaluate

$$\frac{226981}{135}\approx 1681.340740741$$

Steps For Long Division Method

Use the 1^{st} digit 2 from dividend 226981

$$\begin{array}{l}\phantom{135)}\phantom{1}\\135\overline{)226981}\\\end{array}$$

Since 2 is less than 135, use the next digit 2 from dividend 226981 and add 0 to the quotient

$$\begin{array}{l}\phantom{135)}0\phantom{2}\\135\overline{)226981}\\\end{array}$$

Use the 2^{nd} digit 2 from dividend 226981

$$\begin{array}{l}\phantom{135)}0\phantom{3}\\135\overline{)226981}\\\end{array}$$

Since 22 is less than 135, use the next digit 6 from dividend 226981 and add 0 to the quotient

$$\begin{array}{l}\phantom{135)}00\phantom{4}\\135\overline{)226981}\\\end{array}$$

Use the 3^{rd} digit 6 from dividend 226981

$$\begin{array}{l}\phantom{135)}00\phantom{5}\\135\overline{)226981}\\\end{array}$$

Find closest multiple of 135 to 226. We see that 1 \times 135 = 135 is the nearest. Now subtract 135 from 226 to get reminder 91. Add 1 to quotient.

$$\begin{array}{l}\phantom{135)}001\phantom{6}\\135\overline{)226981}\\\phantom{135)}\underline{\phantom{}135\phantom{999}}\\\phantom{135)9}91\\\end{array}$$

Use the 4^{th} digit 9 from dividend 226981

$$\begin{array}{l}\phantom{135)}001\phantom{7}\\135\overline{)226981}\\\phantom{135)}\underline{\phantom{}135\phantom{999}}\\\phantom{135)9}919\\\end{array}$$

Find closest multiple of 135 to 919. We see that 6 \times 135 = 810 is the nearest. Now subtract 810 from 919 to get reminder 109. Add 6 to quotient.

$$\begin{array}{l}\phantom{135)}0016\phantom{8}\\135\overline{)226981}\\\phantom{135)}\underline{\phantom{}135\phantom{999}}\\\phantom{135)9}919\\\phantom{135)}\underline{\phantom{9}810\phantom{99}}\\\phantom{135)9}109\\\end{array}$$

Use the 5^{th} digit 8 from dividend 226981

$$\begin{array}{l}\phantom{135)}0016\phantom{9}\\135\overline{)226981}\\\phantom{135)}\underline{\phantom{}135\phantom{999}}\\\phantom{135)9}919\\\phantom{135)}\underline{\phantom{9}810\phantom{99}}\\\phantom{135)9}1098\\\end{array}$$

Find closest multiple of 135 to 1098. We see that 8 \times 135 = 1080 is the nearest. Now subtract 1080 from 1098 to get reminder 18. Add 8 to quotient.

$$\begin{array}{l}\phantom{135)}00168\phantom{10}\\135\overline{)226981}\\\phantom{135)}\underline{\phantom{}135\phantom{999}}\\\phantom{135)9}919\\\phantom{135)}\underline{\phantom{9}810\phantom{99}}\\\phantom{135)9}1098\\\phantom{135)}\underline{\phantom{9}1080\phantom{9}}\\\phantom{135)999}18\\\end{array}$$

Use the 6^{th} digit 1 from dividend 226981

$$\begin{array}{l}\phantom{135)}00168\phantom{11}\\135\overline{)226981}\\\phantom{135)}\underline{\phantom{}135\phantom{999}}\\\phantom{135)9}919\\\phantom{135)}\underline{\phantom{9}810\phantom{99}}\\\phantom{135)9}1098\\\phantom{135)}\underline{\phantom{9}1080\phantom{9}}\\\phantom{135)999}181\\\end{array}$$

Find closest multiple of 135 to 181. We see that 1 \times 135 = 135 is the nearest. Now subtract 135 from 181 to get reminder 46. Add 1 to quotient.

$$\begin{array}{l}\phantom{135)}001681\phantom{12}\\135\overline{)226981}\\\phantom{135)}\underline{\phantom{}135\phantom{999}}\\\phantom{135)9}919\\\phantom{135)}\underline{\phantom{9}810\phantom{99}}\\\phantom{135)9}1098\\\phantom{135)}\underline{\phantom{9}1080\phantom{9}}\\\phantom{135)999}181\\\phantom{135)}\underline{\phantom{999}135\phantom{}}\\\phantom{135)9999}46\\\end{array}$$

Since 46 is less than 135, stop the division. The reminder is 46. The topmost line 001681 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 1681.

$$\text{Quotient: }1681 \text{Reminder: }46$$

Factor

$$\frac{61 ^ {3}}{3 ^ {3} \cdot 5} = 1681\frac{46}{135} = 1681.3407407407408$$