Solve 4500div102

$$4500 \div 102$$

Evaluate

$$\frac{750}{17}\approx 44.117647059$$

Steps For Long Division Method

Use the 1^{st} digit 4 from dividend 4500

$$\begin{array}{l}\phantom{102)}\phantom{1}\\102\overline{)4500}\\\end{array}$$

Since 4 is less than 102, use the next digit 5 from dividend 4500 and add 0 to the quotient

$$\begin{array}{l}\phantom{102)}0\phantom{2}\\102\overline{)4500}\\\end{array}$$

Use the 2^{nd} digit 5 from dividend 4500

$$\begin{array}{l}\phantom{102)}0\phantom{3}\\102\overline{)4500}\\\end{array}$$

Since 45 is less than 102, use the next digit 0 from dividend 4500 and add 0 to the quotient

$$\begin{array}{l}\phantom{102)}00\phantom{4}\\102\overline{)4500}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 4500

$$\begin{array}{l}\phantom{102)}00\phantom{5}\\102\overline{)4500}\\\end{array}$$

Find closest multiple of 102 to 450. We see that 4 \times 102 = 408 is the nearest. Now subtract 408 from 450 to get reminder 42. Add 4 to quotient.

$$\begin{array}{l}\phantom{102)}004\phantom{6}\\102\overline{)4500}\\\phantom{102)}\underline{\phantom{}408\phantom{9}}\\\phantom{102)9}42\\\end{array}$$

Use the 4^{th} digit 0 from dividend 4500

$$\begin{array}{l}\phantom{102)}004\phantom{7}\\102\overline{)4500}\\\phantom{102)}\underline{\phantom{}408\phantom{9}}\\\phantom{102)9}420\\\end{array}$$

Find closest multiple of 102 to 420. We see that 4 \times 102 = 408 is the nearest. Now subtract 408 from 420 to get reminder 12. Add 4 to quotient.

$$\begin{array}{l}\phantom{102)}0044\phantom{8}\\102\overline{)4500}\\\phantom{102)}\underline{\phantom{}408\phantom{9}}\\\phantom{102)9}420\\\phantom{102)}\underline{\phantom{9}408\phantom{}}\\\phantom{102)99}12\\\end{array}$$

Since 12 is less than 102, stop the division. The reminder is 12. The topmost line 0044 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 44.

$$\text{Quotient: }44 \text{Reminder: }12$$

Factor

$$\frac{2 \cdot 3 \cdot 5 ^ {3}}{17} = 44\frac{2}{17} = 44.11764705882353$$