Solve 4052/420

$$\frac { 4052 } { 420 }$$

Evaluate

$$\frac{1013}{105}\approx 9.647619048$$

Steps For Long Division Method

Use the 1^{st} digit 4 from dividend 4052

$$\begin{array}{l}\phantom{420)}\phantom{1}\\420\overline{)4052}\\\end{array}$$

Since 4 is less than 420, use the next digit 0 from dividend 4052 and add 0 to the quotient

$$\begin{array}{l}\phantom{420)}0\phantom{2}\\420\overline{)4052}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 4052

$$\begin{array}{l}\phantom{420)}0\phantom{3}\\420\overline{)4052}\\\end{array}$$

Since 40 is less than 420, use the next digit 5 from dividend 4052 and add 0 to the quotient

$$\begin{array}{l}\phantom{420)}00\phantom{4}\\420\overline{)4052}\\\end{array}$$

Use the 3^{rd} digit 5 from dividend 4052

$$\begin{array}{l}\phantom{420)}00\phantom{5}\\420\overline{)4052}\\\end{array}$$

Since 405 is less than 420, use the next digit 2 from dividend 4052 and add 0 to the quotient

$$\begin{array}{l}\phantom{420)}000\phantom{6}\\420\overline{)4052}\\\end{array}$$

Use the 4^{th} digit 2 from dividend 4052

$$\begin{array}{l}\phantom{420)}000\phantom{7}\\420\overline{)4052}\\\end{array}$$

Find closest multiple of 420 to 4052. We see that 9 \times 420 = 3780 is the nearest. Now subtract 3780 from 4052 to get reminder 272. Add 9 to quotient.

$$\begin{array}{l}\phantom{420)}0009\phantom{8}\\420\overline{)4052}\\\phantom{420)}\underline{\phantom{}3780\phantom{}}\\\phantom{420)9}272\\\end{array}$$

Since 272 is less than 420, stop the division. The reminder is 272. The topmost line 0009 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 9.

$$\text{Quotient: }9 \text{Reminder: }272$$

Factor

$$\frac{1013}{3 \cdot 5 \cdot 7} = 9\frac{68}{105} = 9.647619047619047$$