Solve 1999div71

$$1999 \div 71$$

Evaluate

$$\frac{1999}{71}\approx 28.154929577$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 1999

$$\begin{array}{l}\phantom{71)}\phantom{1}\\71\overline{)1999}\\\end{array}$$

Since 1 is less than 71, use the next digit 9 from dividend 1999 and add 0 to the quotient

$$\begin{array}{l}\phantom{71)}0\phantom{2}\\71\overline{)1999}\\\end{array}$$

Use the 2^{nd} digit 9 from dividend 1999

$$\begin{array}{l}\phantom{71)}0\phantom{3}\\71\overline{)1999}\\\end{array}$$

Since 19 is less than 71, use the next digit 9 from dividend 1999 and add 0 to the quotient

$$\begin{array}{l}\phantom{71)}00\phantom{4}\\71\overline{)1999}\\\end{array}$$

Use the 3^{rd} digit 9 from dividend 1999

$$\begin{array}{l}\phantom{71)}00\phantom{5}\\71\overline{)1999}\\\end{array}$$

Find closest multiple of 71 to 199. We see that 2 \times 71 = 142 is the nearest. Now subtract 142 from 199 to get reminder 57. Add 2 to quotient.

$$\begin{array}{l}\phantom{71)}002\phantom{6}\\71\overline{)1999}\\\phantom{71)}\underline{\phantom{}142\phantom{9}}\\\phantom{71)9}57\\\end{array}$$

Use the 4^{th} digit 9 from dividend 1999

$$\begin{array}{l}\phantom{71)}002\phantom{7}\\71\overline{)1999}\\\phantom{71)}\underline{\phantom{}142\phantom{9}}\\\phantom{71)9}579\\\end{array}$$

Find closest multiple of 71 to 579. We see that 8 \times 71 = 568 is the nearest. Now subtract 568 from 579 to get reminder 11. Add 8 to quotient.

$$\begin{array}{l}\phantom{71)}0028\phantom{8}\\71\overline{)1999}\\\phantom{71)}\underline{\phantom{}142\phantom{9}}\\\phantom{71)9}579\\\phantom{71)}\underline{\phantom{9}568\phantom{}}\\\phantom{71)99}11\\\end{array}$$

Since 11 is less than 71, stop the division. The reminder is 11. The topmost line 0028 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 28.

$$\text{Quotient: }28 \text{Reminder: }11$$

Factor

$$\frac{1999}{71} = 28\frac{11}{71} = 28.154929577464788$$