Solve 4194div222

$$4194 \div 222$$

Evaluate

$$\frac{699}{37}\approx 18.891891892$$

Steps For Long Division Method

Use the 1^{st} digit 4 from dividend 4194

$$\begin{array}{l}\phantom{222)}\phantom{1}\\222\overline{)4194}\\\end{array}$$

Since 4 is less than 222, use the next digit 1 from dividend 4194 and add 0 to the quotient

$$\begin{array}{l}\phantom{222)}0\phantom{2}\\222\overline{)4194}\\\end{array}$$

Use the 2^{nd} digit 1 from dividend 4194

$$\begin{array}{l}\phantom{222)}0\phantom{3}\\222\overline{)4194}\\\end{array}$$

Since 41 is less than 222, use the next digit 9 from dividend 4194 and add 0 to the quotient

$$\begin{array}{l}\phantom{222)}00\phantom{4}\\222\overline{)4194}\\\end{array}$$

Use the 3^{rd} digit 9 from dividend 4194

$$\begin{array}{l}\phantom{222)}00\phantom{5}\\222\overline{)4194}\\\end{array}$$

Find closest multiple of 222 to 419. We see that 1 \times 222 = 222 is the nearest. Now subtract 222 from 419 to get reminder 197. Add 1 to quotient.

$$\begin{array}{l}\phantom{222)}001\phantom{6}\\222\overline{)4194}\\\phantom{222)}\underline{\phantom{}222\phantom{9}}\\\phantom{222)}197\\\end{array}$$

Use the 4^{th} digit 4 from dividend 4194

$$\begin{array}{l}\phantom{222)}001\phantom{7}\\222\overline{)4194}\\\phantom{222)}\underline{\phantom{}222\phantom{9}}\\\phantom{222)}1974\\\end{array}$$

Find closest multiple of 222 to 1974. We see that 8 \times 222 = 1776 is the nearest. Now subtract 1776 from 1974 to get reminder 198. Add 8 to quotient.

$$\begin{array}{l}\phantom{222)}0018\phantom{8}\\222\overline{)4194}\\\phantom{222)}\underline{\phantom{}222\phantom{9}}\\\phantom{222)}1974\\\phantom{222)}\underline{\phantom{}1776\phantom{}}\\\phantom{222)9}198\\\end{array}$$

Since 198 is less than 222, stop the division. The reminder is 198. The topmost line 0018 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 18.

$$\text{Quotient: }18 \text{Reminder: }198$$

Factor

$$\frac{3 \cdot 233}{37} = 18\frac{33}{37} = 18.89189189189189$$