Solve 1962:43

$$1962 : 43$$

Evaluate

$$\frac{1962}{43}\approx 45.627906977$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 1962

$$\begin{array}{l}\phantom{43)}\phantom{1}\\43\overline{)1962}\\\end{array}$$

Since 1 is less than 43, use the next digit 9 from dividend 1962 and add 0 to the quotient

$$\begin{array}{l}\phantom{43)}0\phantom{2}\\43\overline{)1962}\\\end{array}$$

Use the 2^{nd} digit 9 from dividend 1962

$$\begin{array}{l}\phantom{43)}0\phantom{3}\\43\overline{)1962}\\\end{array}$$

Since 19 is less than 43, use the next digit 6 from dividend 1962 and add 0 to the quotient

$$\begin{array}{l}\phantom{43)}00\phantom{4}\\43\overline{)1962}\\\end{array}$$

Use the 3^{rd} digit 6 from dividend 1962

$$\begin{array}{l}\phantom{43)}00\phantom{5}\\43\overline{)1962}\\\end{array}$$

Find closest multiple of 43 to 196. We see that 4 \times 43 = 172 is the nearest. Now subtract 172 from 196 to get reminder 24. Add 4 to quotient.

$$\begin{array}{l}\phantom{43)}004\phantom{6}\\43\overline{)1962}\\\phantom{43)}\underline{\phantom{}172\phantom{9}}\\\phantom{43)9}24\\\end{array}$$

Use the 4^{th} digit 2 from dividend 1962

$$\begin{array}{l}\phantom{43)}004\phantom{7}\\43\overline{)1962}\\\phantom{43)}\underline{\phantom{}172\phantom{9}}\\\phantom{43)9}242\\\end{array}$$

Find closest multiple of 43 to 242. We see that 5 \times 43 = 215 is the nearest. Now subtract 215 from 242 to get reminder 27. Add 5 to quotient.

$$\begin{array}{l}\phantom{43)}0045\phantom{8}\\43\overline{)1962}\\\phantom{43)}\underline{\phantom{}172\phantom{9}}\\\phantom{43)9}242\\\phantom{43)}\underline{\phantom{9}215\phantom{}}\\\phantom{43)99}27\\\end{array}$$

Since 27 is less than 43, stop the division. The reminder is 27. The topmost line 0045 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 45.

$$\text{Quotient: }45 \text{Reminder: }27$$

Factor

$$\frac{2 \cdot 3 ^ {2} \cdot 109}{43} = 45\frac{27}{43} = 45.627906976744185$$