Solve 9754/328

$$\frac { 9754 } { 328 }$$

Evaluate

$$\frac{4877}{164}\approx 29.737804878$$

Steps For Long Division Method

Use the 1^{st} digit 9 from dividend 9754

$$\begin{array}{l}\phantom{328)}\phantom{1}\\328\overline{)9754}\\\end{array}$$

Since 9 is less than 328, use the next digit 7 from dividend 9754 and add 0 to the quotient

$$\begin{array}{l}\phantom{328)}0\phantom{2}\\328\overline{)9754}\\\end{array}$$

Use the 2^{nd} digit 7 from dividend 9754

$$\begin{array}{l}\phantom{328)}0\phantom{3}\\328\overline{)9754}\\\end{array}$$

Since 97 is less than 328, use the next digit 5 from dividend 9754 and add 0 to the quotient

$$\begin{array}{l}\phantom{328)}00\phantom{4}\\328\overline{)9754}\\\end{array}$$

Use the 3^{rd} digit 5 from dividend 9754

$$\begin{array}{l}\phantom{328)}00\phantom{5}\\328\overline{)9754}\\\end{array}$$

Find closest multiple of 328 to 975. We see that 2 \times 328 = 656 is the nearest. Now subtract 656 from 975 to get reminder 319. Add 2 to quotient.

$$\begin{array}{l}\phantom{328)}002\phantom{6}\\328\overline{)9754}\\\phantom{328)}\underline{\phantom{}656\phantom{9}}\\\phantom{328)}319\\\end{array}$$

Use the 4^{th} digit 4 from dividend 9754

$$\begin{array}{l}\phantom{328)}002\phantom{7}\\328\overline{)9754}\\\phantom{328)}\underline{\phantom{}656\phantom{9}}\\\phantom{328)}3194\\\end{array}$$

Find closest multiple of 328 to 3194. We see that 9 \times 328 = 2952 is the nearest. Now subtract 2952 from 3194 to get reminder 242. Add 9 to quotient.

$$\begin{array}{l}\phantom{328)}0029\phantom{8}\\328\overline{)9754}\\\phantom{328)}\underline{\phantom{}656\phantom{9}}\\\phantom{328)}3194\\\phantom{328)}\underline{\phantom{}2952\phantom{}}\\\phantom{328)9}242\\\end{array}$$

Since 242 is less than 328, stop the division. The reminder is 242. The topmost line 0029 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 29.

$$\text{Quotient: }29 \text{Reminder: }242$$

Factor

$$\frac{4877}{2 ^ {2} \cdot 41} = 29\frac{121}{164} = 29.73780487804878$$