Solve 4307:20

$$4307 : 20$$

Evaluate

$$\frac{4307}{20}=215.35$$

Steps For Long Division Method

Use the 1^{st} digit 4 from dividend 4307

$$\begin{array}{l}\phantom{20)}\phantom{1}\\20\overline{)4307}\\\end{array}$$

Since 4 is less than 20, use the next digit 3 from dividend 4307 and add 0 to the quotient

$$\begin{array}{l}\phantom{20)}0\phantom{2}\\20\overline{)4307}\\\end{array}$$

Use the 2^{nd} digit 3 from dividend 4307

$$\begin{array}{l}\phantom{20)}0\phantom{3}\\20\overline{)4307}\\\end{array}$$

Find closest multiple of 20 to 43. We see that 2 \times 20 = 40 is the nearest. Now subtract 40 from 43 to get reminder 3. Add 2 to quotient.

$$\begin{array}{l}\phantom{20)}02\phantom{4}\\20\overline{)4307}\\\phantom{20)}\underline{\phantom{}40\phantom{99}}\\\phantom{20)9}3\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 4307

$$\begin{array}{l}\phantom{20)}02\phantom{5}\\20\overline{)4307}\\\phantom{20)}\underline{\phantom{}40\phantom{99}}\\\phantom{20)9}30\\\end{array}$$

Find closest multiple of 20 to 30. We see that 1 \times 20 = 20 is the nearest. Now subtract 20 from 30 to get reminder 10. Add 1 to quotient.

$$\begin{array}{l}\phantom{20)}021\phantom{6}\\20\overline{)4307}\\\phantom{20)}\underline{\phantom{}40\phantom{99}}\\\phantom{20)9}30\\\phantom{20)}\underline{\phantom{9}20\phantom{9}}\\\phantom{20)9}10\\\end{array}$$

Use the 4^{th} digit 7 from dividend 4307

$$\begin{array}{l}\phantom{20)}021\phantom{7}\\20\overline{)4307}\\\phantom{20)}\underline{\phantom{}40\phantom{99}}\\\phantom{20)9}30\\\phantom{20)}\underline{\phantom{9}20\phantom{9}}\\\phantom{20)9}107\\\end{array}$$

Find closest multiple of 20 to 107. We see that 5 \times 20 = 100 is the nearest. Now subtract 100 from 107 to get reminder 7. Add 5 to quotient.

$$\begin{array}{l}\phantom{20)}0215\phantom{8}\\20\overline{)4307}\\\phantom{20)}\underline{\phantom{}40\phantom{99}}\\\phantom{20)9}30\\\phantom{20)}\underline{\phantom{9}20\phantom{9}}\\\phantom{20)9}107\\\phantom{20)}\underline{\phantom{9}100\phantom{}}\\\phantom{20)999}7\\\end{array}$$

Since 7 is less than 20, stop the division. The reminder is 7. The topmost line 0215 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 215.

$$\text{Quotient: }215 \text{Reminder: }7$$

Factor

$$\frac{59 \cdot 73}{2 ^ {2} \cdot 5} = 215\frac{7}{20} = 215.35$$