Solve 1960div224

$$1960 \div 224$$

Evaluate

$$\frac{35}{4}=8.75$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 1960

$$\begin{array}{l}\phantom{224)}\phantom{1}\\224\overline{)1960}\\\end{array}$$

Since 1 is less than 224, use the next digit 9 from dividend 1960 and add 0 to the quotient

$$\begin{array}{l}\phantom{224)}0\phantom{2}\\224\overline{)1960}\\\end{array}$$

Use the 2^{nd} digit 9 from dividend 1960

$$\begin{array}{l}\phantom{224)}0\phantom{3}\\224\overline{)1960}\\\end{array}$$

Since 19 is less than 224, use the next digit 6 from dividend 1960 and add 0 to the quotient

$$\begin{array}{l}\phantom{224)}00\phantom{4}\\224\overline{)1960}\\\end{array}$$

Use the 3^{rd} digit 6 from dividend 1960

$$\begin{array}{l}\phantom{224)}00\phantom{5}\\224\overline{)1960}\\\end{array}$$

Since 196 is less than 224, use the next digit 0 from dividend 1960 and add 0 to the quotient

$$\begin{array}{l}\phantom{224)}000\phantom{6}\\224\overline{)1960}\\\end{array}$$

Use the 4^{th} digit 0 from dividend 1960

$$\begin{array}{l}\phantom{224)}000\phantom{7}\\224\overline{)1960}\\\end{array}$$

Find closest multiple of 224 to 1960. We see that 8 \times 224 = 1792 is the nearest. Now subtract 1792 from 1960 to get reminder 168. Add 8 to quotient.

$$\begin{array}{l}\phantom{224)}0008\phantom{8}\\224\overline{)1960}\\\phantom{224)}\underline{\phantom{}1792\phantom{}}\\\phantom{224)9}168\\\end{array}$$

Since 168 is less than 224, stop the division. The reminder is 168. The topmost line 0008 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 8.

$$\text{Quotient: }8 \text{Reminder: }168$$

Factor

$$\frac{5 \cdot 7}{2 ^ {2}} = 8\frac{3}{4} = 8.75$$