Solve 107120div2000

$$107120 \div 2000$$

Evaluate

$$\frac{1339}{25}=53.56$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 107120

$$\begin{array}{l}\phantom{2000)}\phantom{1}\\2000\overline{)107120}\\\end{array}$$

Since 1 is less than 2000, use the next digit 0 from dividend 107120 and add 0 to the quotient

$$\begin{array}{l}\phantom{2000)}0\phantom{2}\\2000\overline{)107120}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 107120

$$\begin{array}{l}\phantom{2000)}0\phantom{3}\\2000\overline{)107120}\\\end{array}$$

Since 10 is less than 2000, use the next digit 7 from dividend 107120 and add 0 to the quotient

$$\begin{array}{l}\phantom{2000)}00\phantom{4}\\2000\overline{)107120}\\\end{array}$$

Use the 3^{rd} digit 7 from dividend 107120

$$\begin{array}{l}\phantom{2000)}00\phantom{5}\\2000\overline{)107120}\\\end{array}$$

Since 107 is less than 2000, use the next digit 1 from dividend 107120 and add 0 to the quotient

$$\begin{array}{l}\phantom{2000)}000\phantom{6}\\2000\overline{)107120}\\\end{array}$$

Use the 4^{th} digit 1 from dividend 107120

$$\begin{array}{l}\phantom{2000)}000\phantom{7}\\2000\overline{)107120}\\\end{array}$$

Since 1071 is less than 2000, use the next digit 2 from dividend 107120 and add 0 to the quotient

$$\begin{array}{l}\phantom{2000)}0000\phantom{8}\\2000\overline{)107120}\\\end{array}$$

Use the 5^{th} digit 2 from dividend 107120

$$\begin{array}{l}\phantom{2000)}0000\phantom{9}\\2000\overline{)107120}\\\end{array}$$

Find closest multiple of 2000 to 10712. We see that 5 \times 2000 = 10000 is the nearest. Now subtract 10000 from 10712 to get reminder 712. Add 5 to quotient.

$$\begin{array}{l}\phantom{2000)}00005\phantom{10}\\2000\overline{)107120}\\\phantom{2000)}\underline{\phantom{}10000\phantom{9}}\\\phantom{2000)99}712\\\end{array}$$

Use the 6^{th} digit 0 from dividend 107120

$$\begin{array}{l}\phantom{2000)}00005\phantom{11}\\2000\overline{)107120}\\\phantom{2000)}\underline{\phantom{}10000\phantom{9}}\\\phantom{2000)99}7120\\\end{array}$$

Find closest multiple of 2000 to 7120. We see that 3 \times 2000 = 6000 is the nearest. Now subtract 6000 from 7120 to get reminder 1120. Add 3 to quotient.

$$\begin{array}{l}\phantom{2000)}000053\phantom{12}\\2000\overline{)107120}\\\phantom{2000)}\underline{\phantom{}10000\phantom{9}}\\\phantom{2000)99}7120\\\phantom{2000)}\underline{\phantom{99}6000\phantom{}}\\\phantom{2000)99}1120\\\end{array}$$

Since 1120 is less than 2000, stop the division. The reminder is 1120. The topmost line 000053 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 53.

$$\text{Quotient: }53 \text{Reminder: }1120$$

Factor

$$\frac{13 \cdot 103}{5 ^ {2}} = 53\frac{14}{25} = 53.56$$