Solve 705/224

$$\frac { 705 } { 224 }$$

Evaluate

$$\frac{705}{224}\approx 3.147321429$$

Steps For Long Division Method

Use the 1^{st} digit 7 from dividend 705

$$\begin{array}{l}\phantom{224)}\phantom{1}\\224\overline{)705}\\\end{array}$$

Since 7 is less than 224, use the next digit 0 from dividend 705 and add 0 to the quotient

$$\begin{array}{l}\phantom{224)}0\phantom{2}\\224\overline{)705}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 705

$$\begin{array}{l}\phantom{224)}0\phantom{3}\\224\overline{)705}\\\end{array}$$

Since 70 is less than 224, use the next digit 5 from dividend 705 and add 0 to the quotient

$$\begin{array}{l}\phantom{224)}00\phantom{4}\\224\overline{)705}\\\end{array}$$

Use the 3^{rd} digit 5 from dividend 705

$$\begin{array}{l}\phantom{224)}00\phantom{5}\\224\overline{)705}\\\end{array}$$

Find closest multiple of 224 to 705. We see that 3 \times 224 = 672 is the nearest. Now subtract 672 from 705 to get reminder 33. Add 3 to quotient.

$$\begin{array}{l}\phantom{224)}003\phantom{6}\\224\overline{)705}\\\phantom{224)}\underline{\phantom{}672\phantom{}}\\\phantom{224)9}33\\\end{array}$$

Since 33 is less than 224, stop the division. The reminder is 33. The topmost line 003 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 3.

$$\text{Quotient: }3 \text{Reminder: }33$$

Factor

$$\frac{3 \cdot 5 \cdot 47}{2 ^ {5} \cdot 7} = 3\frac{33}{224} = 3.1473214285714284$$