Solve 1163div199

$$1163 \div 199$$

Evaluate

$$\frac{1163}{199}\approx 5.844221106$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 1163

$$\begin{array}{l}\phantom{199)}\phantom{1}\\199\overline{)1163}\\\end{array}$$

Since 1 is less than 199, use the next digit 1 from dividend 1163 and add 0 to the quotient

$$\begin{array}{l}\phantom{199)}0\phantom{2}\\199\overline{)1163}\\\end{array}$$

Use the 2^{nd} digit 1 from dividend 1163

$$\begin{array}{l}\phantom{199)}0\phantom{3}\\199\overline{)1163}\\\end{array}$$

Since 11 is less than 199, use the next digit 6 from dividend 1163 and add 0 to the quotient

$$\begin{array}{l}\phantom{199)}00\phantom{4}\\199\overline{)1163}\\\end{array}$$

Use the 3^{rd} digit 6 from dividend 1163

$$\begin{array}{l}\phantom{199)}00\phantom{5}\\199\overline{)1163}\\\end{array}$$

Since 116 is less than 199, use the next digit 3 from dividend 1163 and add 0 to the quotient

$$\begin{array}{l}\phantom{199)}000\phantom{6}\\199\overline{)1163}\\\end{array}$$

Use the 4^{th} digit 3 from dividend 1163

$$\begin{array}{l}\phantom{199)}000\phantom{7}\\199\overline{)1163}\\\end{array}$$

Find closest multiple of 199 to 1163. We see that 5 \times 199 = 995 is the nearest. Now subtract 995 from 1163 to get reminder 168. Add 5 to quotient.

$$\begin{array}{l}\phantom{199)}0005\phantom{8}\\199\overline{)1163}\\\phantom{199)}\underline{\phantom{9}995\phantom{}}\\\phantom{199)9}168\\\end{array}$$

Since 168 is less than 199, stop the division. The reminder is 168. The topmost line 0005 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 5.

$$\text{Quotient: }5 \text{Reminder: }168$$

Factor

$$\frac{1163}{199} = 5\frac{168}{199} = 5.844221105527638$$