Solve 1113div97

$$1113 \div 97$$

Evaluate

$$\frac{1113}{97}\approx 11.474226804$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 1113

$$\begin{array}{l}\phantom{97)}\phantom{1}\\97\overline{)1113}\\\end{array}$$

Since 1 is less than 97, use the next digit 1 from dividend 1113 and add 0 to the quotient

$$\begin{array}{l}\phantom{97)}0\phantom{2}\\97\overline{)1113}\\\end{array}$$

Use the 2^{nd} digit 1 from dividend 1113

$$\begin{array}{l}\phantom{97)}0\phantom{3}\\97\overline{)1113}\\\end{array}$$

Since 11 is less than 97, use the next digit 1 from dividend 1113 and add 0 to the quotient

$$\begin{array}{l}\phantom{97)}00\phantom{4}\\97\overline{)1113}\\\end{array}$$

Use the 3^{rd} digit 1 from dividend 1113

$$\begin{array}{l}\phantom{97)}00\phantom{5}\\97\overline{)1113}\\\end{array}$$

Find closest multiple of 97 to 111. We see that 1 \times 97 = 97 is the nearest. Now subtract 97 from 111 to get reminder 14. Add 1 to quotient.

$$\begin{array}{l}\phantom{97)}001\phantom{6}\\97\overline{)1113}\\\phantom{97)}\underline{\phantom{9}97\phantom{9}}\\\phantom{97)9}14\\\end{array}$$

Use the 4^{th} digit 3 from dividend 1113

$$\begin{array}{l}\phantom{97)}001\phantom{7}\\97\overline{)1113}\\\phantom{97)}\underline{\phantom{9}97\phantom{9}}\\\phantom{97)9}143\\\end{array}$$

Find closest multiple of 97 to 143. We see that 1 \times 97 = 97 is the nearest. Now subtract 97 from 143 to get reminder 46. Add 1 to quotient.

$$\begin{array}{l}\phantom{97)}0011\phantom{8}\\97\overline{)1113}\\\phantom{97)}\underline{\phantom{9}97\phantom{9}}\\\phantom{97)9}143\\\phantom{97)}\underline{\phantom{99}97\phantom{}}\\\phantom{97)99}46\\\end{array}$$

Since 46 is less than 97, stop the division. The reminder is 46. The topmost line 0011 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 11.

$$\text{Quotient: }11 \text{Reminder: }46$$

Factor

$$\frac{3 \cdot 7 \cdot 53}{97} = 11\frac{46}{97} = 11.474226804123711$$