Solve 1999div91

$$1999 \div 91$$

Evaluate

$$\frac{1999}{91}\approx 21.967032967$$

Steps For Long Division Method

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

$$\begin{array}{l}\phantom{91)}\phantom{1}\\91\overline{)1999}\\\end{array}$$

Since 1 is less than 91, use the next digit 9 from dividend 1999 and add 0 to the quotient

$$\begin{array}{l}\phantom{91)}0\phantom{2}\\91\overline{)1999}\\\end{array}$$

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

$$\begin{array}{l}\phantom{91)}0\phantom{3}\\91\overline{)1999}\\\end{array}$$

Since 19 is less than 91, use the next digit 9 from dividend 1999 and add 0 to the quotient

$$\begin{array}{l}\phantom{91)}00\phantom{4}\\91\overline{)1999}\\\end{array}$$

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

$$\begin{array}{l}\phantom{91)}00\phantom{5}\\91\overline{)1999}\\\end{array}$$

Find closest multiple of 91 to 199. We see that 2 \times 91 = 182 is the nearest. Now subtract 182 from 199 to get reminder 17. Add 2 to quotient.

$$\begin{array}{l}\phantom{91)}002\phantom{6}\\91\overline{)1999}\\\phantom{91)}\underline{\phantom{}182\phantom{9}}\\\phantom{91)9}17\\\end{array}$$

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

$$\begin{array}{l}\phantom{91)}002\phantom{7}\\91\overline{)1999}\\\phantom{91)}\underline{\phantom{}182\phantom{9}}\\\phantom{91)9}179\\\end{array}$$

Find closest multiple of 91 to 179. We see that 1 \times 91 = 91 is the nearest. Now subtract 91 from 179 to get reminder 88. Add 1 to quotient.

$$\begin{array}{l}\phantom{91)}0021\phantom{8}\\91\overline{)1999}\\\phantom{91)}\underline{\phantom{}182\phantom{9}}\\\phantom{91)9}179\\\phantom{91)}\underline{\phantom{99}91\phantom{}}\\\phantom{91)99}88\\\end{array}$$

Since 88 is less than 91, stop the division. The reminder is 88. The topmost line 0021 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 21.

$$\text{Quotient: }21 \text{Reminder: }88$$

Factor

$$\frac{1999}{7 \cdot 13} = 21\frac{88}{91} = 21.967032967032967$$