Solve 13033div119

$$13033 \div 119$$

Evaluate

$$\frac{13033}{119}\approx 109.521008403$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 13033

$$\begin{array}{l}\phantom{119)}\phantom{1}\\119\overline{)13033}\\\end{array}$$

Since 1 is less than 119, use the next digit 3 from dividend 13033 and add 0 to the quotient

$$\begin{array}{l}\phantom{119)}0\phantom{2}\\119\overline{)13033}\\\end{array}$$

Use the 2^{nd} digit 3 from dividend 13033

$$\begin{array}{l}\phantom{119)}0\phantom{3}\\119\overline{)13033}\\\end{array}$$

Since 13 is less than 119, use the next digit 0 from dividend 13033 and add 0 to the quotient

$$\begin{array}{l}\phantom{119)}00\phantom{4}\\119\overline{)13033}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 13033

$$\begin{array}{l}\phantom{119)}00\phantom{5}\\119\overline{)13033}\\\end{array}$$

Find closest multiple of 119 to 130. We see that 1 \times 119 = 119 is the nearest. Now subtract 119 from 130 to get reminder 11. Add 1 to quotient.

$$\begin{array}{l}\phantom{119)}001\phantom{6}\\119\overline{)13033}\\\phantom{119)}\underline{\phantom{}119\phantom{99}}\\\phantom{119)9}11\\\end{array}$$

Use the 4^{th} digit 3 from dividend 13033

$$\begin{array}{l}\phantom{119)}001\phantom{7}\\119\overline{)13033}\\\phantom{119)}\underline{\phantom{}119\phantom{99}}\\\phantom{119)9}113\\\end{array}$$

Since 113 is less than 119, use the next digit 3 from dividend 13033 and add 0 to the quotient

$$\begin{array}{l}\phantom{119)}0010\phantom{8}\\119\overline{)13033}\\\phantom{119)}\underline{\phantom{}119\phantom{99}}\\\phantom{119)9}113\\\end{array}$$

Use the 5^{th} digit 3 from dividend 13033

$$\begin{array}{l}\phantom{119)}0010\phantom{9}\\119\overline{)13033}\\\phantom{119)}\underline{\phantom{}119\phantom{99}}\\\phantom{119)9}1133\\\end{array}$$

Find closest multiple of 119 to 1133. We see that 9 \times 119 = 1071 is the nearest. Now subtract 1071 from 1133 to get reminder 62. Add 9 to quotient.

$$\begin{array}{l}\phantom{119)}00109\phantom{10}\\119\overline{)13033}\\\phantom{119)}\underline{\phantom{}119\phantom{99}}\\\phantom{119)9}1133\\\phantom{119)}\underline{\phantom{9}1071\phantom{}}\\\phantom{119)999}62\\\end{array}$$

Since 62 is less than 119, stop the division. The reminder is 62. The topmost line 00109 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 109.

$$\text{Quotient: }109 \text{Reminder: }62$$

Factor

$$\frac{13033}{7 \cdot 17} = 109\frac{62}{119} = 109.52100840336135$$