Solve 9832/42

$$\frac { 9832 } { 42 }$$

Evaluate

$$\frac{4916}{21}\approx 234.095238095$$

Steps For Long Division Method

Use the 1^{st} digit 9 from dividend 9832

$$\begin{array}{l}\phantom{42)}\phantom{1}\\42\overline{)9832}\\\end{array}$$

Since 9 is less than 42, use the next digit 8 from dividend 9832 and add 0 to the quotient

$$\begin{array}{l}\phantom{42)}0\phantom{2}\\42\overline{)9832}\\\end{array}$$

Use the 2^{nd} digit 8 from dividend 9832

$$\begin{array}{l}\phantom{42)}0\phantom{3}\\42\overline{)9832}\\\end{array}$$

Find closest multiple of 42 to 98. We see that 2 \times 42 = 84 is the nearest. Now subtract 84 from 98 to get reminder 14. Add 2 to quotient.

$$\begin{array}{l}\phantom{42)}02\phantom{4}\\42\overline{)9832}\\\phantom{42)}\underline{\phantom{}84\phantom{99}}\\\phantom{42)}14\\\end{array}$$

Use the 3^{rd} digit 3 from dividend 9832

$$\begin{array}{l}\phantom{42)}02\phantom{5}\\42\overline{)9832}\\\phantom{42)}\underline{\phantom{}84\phantom{99}}\\\phantom{42)}143\\\end{array}$$

Find closest multiple of 42 to 143. We see that 3 \times 42 = 126 is the nearest. Now subtract 126 from 143 to get reminder 17. Add 3 to quotient.

$$\begin{array}{l}\phantom{42)}023\phantom{6}\\42\overline{)9832}\\\phantom{42)}\underline{\phantom{}84\phantom{99}}\\\phantom{42)}143\\\phantom{42)}\underline{\phantom{}126\phantom{9}}\\\phantom{42)9}17\\\end{array}$$

Use the 4^{th} digit 2 from dividend 9832

$$\begin{array}{l}\phantom{42)}023\phantom{7}\\42\overline{)9832}\\\phantom{42)}\underline{\phantom{}84\phantom{99}}\\\phantom{42)}143\\\phantom{42)}\underline{\phantom{}126\phantom{9}}\\\phantom{42)9}172\\\end{array}$$

Find closest multiple of 42 to 172. We see that 4 \times 42 = 168 is the nearest. Now subtract 168 from 172 to get reminder 4. Add 4 to quotient.

$$\begin{array}{l}\phantom{42)}0234\phantom{8}\\42\overline{)9832}\\\phantom{42)}\underline{\phantom{}84\phantom{99}}\\\phantom{42)}143\\\phantom{42)}\underline{\phantom{}126\phantom{9}}\\\phantom{42)9}172\\\phantom{42)}\underline{\phantom{9}168\phantom{}}\\\phantom{42)999}4\\\end{array}$$

Since 4 is less than 42, stop the division. The reminder is 4. The topmost line 0234 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 234.

$$\text{Quotient: }234 \text{Reminder: }4$$

Factor

$$\frac{2 ^ {2} \cdot 1229}{3 \cdot 7} = 234\frac{2}{21} = 234.0952380952381$$