Solve 243798div231

$$243798 \div 231$$

Evaluate

$$\frac{81266}{77}\approx 1055.402597403$$

Steps For Long Division Method

Use the 1^{st} digit 2 from dividend 243798

$$\begin{array}{l}\phantom{231)}\phantom{1}\\231\overline{)243798}\\\end{array}$$

Since 2 is less than 231, use the next digit 4 from dividend 243798 and add 0 to the quotient

$$\begin{array}{l}\phantom{231)}0\phantom{2}\\231\overline{)243798}\\\end{array}$$

Use the 2^{nd} digit 4 from dividend 243798

$$\begin{array}{l}\phantom{231)}0\phantom{3}\\231\overline{)243798}\\\end{array}$$

Since 24 is less than 231, use the next digit 3 from dividend 243798 and add 0 to the quotient

$$\begin{array}{l}\phantom{231)}00\phantom{4}\\231\overline{)243798}\\\end{array}$$

Use the 3^{rd} digit 3 from dividend 243798

$$\begin{array}{l}\phantom{231)}00\phantom{5}\\231\overline{)243798}\\\end{array}$$

Find closest multiple of 231 to 243. We see that 1 \times 231 = 231 is the nearest. Now subtract 231 from 243 to get reminder 12. Add 1 to quotient.

$$\begin{array}{l}\phantom{231)}001\phantom{6}\\231\overline{)243798}\\\phantom{231)}\underline{\phantom{}231\phantom{999}}\\\phantom{231)9}12\\\end{array}$$

Use the 4^{th} digit 7 from dividend 243798

$$\begin{array}{l}\phantom{231)}001\phantom{7}\\231\overline{)243798}\\\phantom{231)}\underline{\phantom{}231\phantom{999}}\\\phantom{231)9}127\\\end{array}$$

Since 127 is less than 231, use the next digit 9 from dividend 243798 and add 0 to the quotient

$$\begin{array}{l}\phantom{231)}0010\phantom{8}\\231\overline{)243798}\\\phantom{231)}\underline{\phantom{}231\phantom{999}}\\\phantom{231)9}127\\\end{array}$$

Use the 5^{th} digit 9 from dividend 243798

$$\begin{array}{l}\phantom{231)}0010\phantom{9}\\231\overline{)243798}\\\phantom{231)}\underline{\phantom{}231\phantom{999}}\\\phantom{231)9}1279\\\end{array}$$

Find closest multiple of 231 to 1279. We see that 5 \times 231 = 1155 is the nearest. Now subtract 1155 from 1279 to get reminder 124. Add 5 to quotient.

$$\begin{array}{l}\phantom{231)}00105\phantom{10}\\231\overline{)243798}\\\phantom{231)}\underline{\phantom{}231\phantom{999}}\\\phantom{231)9}1279\\\phantom{231)}\underline{\phantom{9}1155\phantom{9}}\\\phantom{231)99}124\\\end{array}$$

Use the 6^{th} digit 8 from dividend 243798

$$\begin{array}{l}\phantom{231)}00105\phantom{11}\\231\overline{)243798}\\\phantom{231)}\underline{\phantom{}231\phantom{999}}\\\phantom{231)9}1279\\\phantom{231)}\underline{\phantom{9}1155\phantom{9}}\\\phantom{231)99}1248\\\end{array}$$

Find closest multiple of 231 to 1248. We see that 5 \times 231 = 1155 is the nearest. Now subtract 1155 from 1248 to get reminder 93. Add 5 to quotient.

$$\begin{array}{l}\phantom{231)}001055\phantom{12}\\231\overline{)243798}\\\phantom{231)}\underline{\phantom{}231\phantom{999}}\\\phantom{231)9}1279\\\phantom{231)}\underline{\phantom{9}1155\phantom{9}}\\\phantom{231)99}1248\\\phantom{231)}\underline{\phantom{99}1155\phantom{}}\\\phantom{231)9999}93\\\end{array}$$

Since 93 is less than 231, stop the division. The reminder is 93. The topmost line 001055 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 1055.

$$\text{Quotient: }1055 \text{Reminder: }93$$

Factor

$$\frac{2 \cdot 179 \cdot 227}{7 \cdot 11} = 1055\frac{31}{77} = 1055.4025974025974$$