Solve 1099div21

$$1099 \div 21$$

Evaluate

$$\frac{157}{3}\approx 52.333333333$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 1099

$$\begin{array}{l}\phantom{21)}\phantom{1}\\21\overline{)1099}\\\end{array}$$

Since 1 is less than 21, use the next digit 0 from dividend 1099 and add 0 to the quotient

$$\begin{array}{l}\phantom{21)}0\phantom{2}\\21\overline{)1099}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 1099

$$\begin{array}{l}\phantom{21)}0\phantom{3}\\21\overline{)1099}\\\end{array}$$

Since 10 is less than 21, use the next digit 9 from dividend 1099 and add 0 to the quotient

$$\begin{array}{l}\phantom{21)}00\phantom{4}\\21\overline{)1099}\\\end{array}$$

Use the 3^{rd} digit 9 from dividend 1099

$$\begin{array}{l}\phantom{21)}00\phantom{5}\\21\overline{)1099}\\\end{array}$$

Find closest multiple of 21 to 109. We see that 5 \times 21 = 105 is the nearest. Now subtract 105 from 109 to get reminder 4. Add 5 to quotient.

$$\begin{array}{l}\phantom{21)}005\phantom{6}\\21\overline{)1099}\\\phantom{21)}\underline{\phantom{}105\phantom{9}}\\\phantom{21)99}4\\\end{array}$$

Use the 4^{th} digit 9 from dividend 1099

$$\begin{array}{l}\phantom{21)}005\phantom{7}\\21\overline{)1099}\\\phantom{21)}\underline{\phantom{}105\phantom{9}}\\\phantom{21)99}49\\\end{array}$$

Find closest multiple of 21 to 49. We see that 2 \times 21 = 42 is the nearest. Now subtract 42 from 49 to get reminder 7. Add 2 to quotient.

$$\begin{array}{l}\phantom{21)}0052\phantom{8}\\21\overline{)1099}\\\phantom{21)}\underline{\phantom{}105\phantom{9}}\\\phantom{21)99}49\\\phantom{21)}\underline{\phantom{99}42\phantom{}}\\\phantom{21)999}7\\\end{array}$$

Since 7 is less than 21, stop the division. The reminder is 7. The topmost line 0052 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 52.

$$\text{Quotient: }52 \text{Reminder: }7$$

Factor

$$\frac{157}{3} = 52\frac{1}{3} = 52.333333333333336$$