Solve 1638div115

$$1638 \div 115$$

Evaluate

$$\frac{1638}{115}\approx 14.243478261$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 1638

$$\begin{array}{l}\phantom{115)}\phantom{1}\\115\overline{)1638}\\\end{array}$$

Since 1 is less than 115, use the next digit 6 from dividend 1638 and add 0 to the quotient

$$\begin{array}{l}\phantom{115)}0\phantom{2}\\115\overline{)1638}\\\end{array}$$

Use the 2^{nd} digit 6 from dividend 1638

$$\begin{array}{l}\phantom{115)}0\phantom{3}\\115\overline{)1638}\\\end{array}$$

Since 16 is less than 115, use the next digit 3 from dividend 1638 and add 0 to the quotient

$$\begin{array}{l}\phantom{115)}00\phantom{4}\\115\overline{)1638}\\\end{array}$$

Use the 3^{rd} digit 3 from dividend 1638

$$\begin{array}{l}\phantom{115)}00\phantom{5}\\115\overline{)1638}\\\end{array}$$

Find closest multiple of 115 to 163. We see that 1 \times 115 = 115 is the nearest. Now subtract 115 from 163 to get reminder 48. Add 1 to quotient.

$$\begin{array}{l}\phantom{115)}001\phantom{6}\\115\overline{)1638}\\\phantom{115)}\underline{\phantom{}115\phantom{9}}\\\phantom{115)9}48\\\end{array}$$

Use the 4^{th} digit 8 from dividend 1638

$$\begin{array}{l}\phantom{115)}001\phantom{7}\\115\overline{)1638}\\\phantom{115)}\underline{\phantom{}115\phantom{9}}\\\phantom{115)9}488\\\end{array}$$

Find closest multiple of 115 to 488. We see that 4 \times 115 = 460 is the nearest. Now subtract 460 from 488 to get reminder 28. Add 4 to quotient.

$$\begin{array}{l}\phantom{115)}0014\phantom{8}\\115\overline{)1638}\\\phantom{115)}\underline{\phantom{}115\phantom{9}}\\\phantom{115)9}488\\\phantom{115)}\underline{\phantom{9}460\phantom{}}\\\phantom{115)99}28\\\end{array}$$

Since 28 is less than 115, stop the division. The reminder is 28. The topmost line 0014 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 14.

$$\text{Quotient: }14 \text{Reminder: }28$$

Factor

$$\frac{2 \cdot 3 ^ {2} \cdot 7 \cdot 13}{5 \cdot 23} = 14\frac{28}{115} = 14.243478260869566$$