Solve 3485div78

$$3485 \div 78$$

Evaluate

$$\frac{3485}{78}\approx 44.679487179$$

Steps For Long Division Method

Use the 1^{st} digit 3 from dividend 3485

$$\begin{array}{l}\phantom{78)}\phantom{1}\\78\overline{)3485}\\\end{array}$$

Since 3 is less than 78, use the next digit 4 from dividend 3485 and add 0 to the quotient

$$\begin{array}{l}\phantom{78)}0\phantom{2}\\78\overline{)3485}\\\end{array}$$

Use the 2^{nd} digit 4 from dividend 3485

$$\begin{array}{l}\phantom{78)}0\phantom{3}\\78\overline{)3485}\\\end{array}$$

Since 34 is less than 78, use the next digit 8 from dividend 3485 and add 0 to the quotient

$$\begin{array}{l}\phantom{78)}00\phantom{4}\\78\overline{)3485}\\\end{array}$$

Use the 3^{rd} digit 8 from dividend 3485

$$\begin{array}{l}\phantom{78)}00\phantom{5}\\78\overline{)3485}\\\end{array}$$

Find closest multiple of 78 to 348. We see that 4 \times 78 = 312 is the nearest. Now subtract 312 from 348 to get reminder 36. Add 4 to quotient.

$$\begin{array}{l}\phantom{78)}004\phantom{6}\\78\overline{)3485}\\\phantom{78)}\underline{\phantom{}312\phantom{9}}\\\phantom{78)9}36\\\end{array}$$

Use the 4^{th} digit 5 from dividend 3485

$$\begin{array}{l}\phantom{78)}004\phantom{7}\\78\overline{)3485}\\\phantom{78)}\underline{\phantom{}312\phantom{9}}\\\phantom{78)9}365\\\end{array}$$

Find closest multiple of 78 to 365. We see that 4 \times 78 = 312 is the nearest. Now subtract 312 from 365 to get reminder 53. Add 4 to quotient.

$$\begin{array}{l}\phantom{78)}0044\phantom{8}\\78\overline{)3485}\\\phantom{78)}\underline{\phantom{}312\phantom{9}}\\\phantom{78)9}365\\\phantom{78)}\underline{\phantom{9}312\phantom{}}\\\phantom{78)99}53\\\end{array}$$

Since 53 is less than 78, stop the division. The reminder is 53. The topmost line 0044 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 44.

$$\text{Quotient: }44 \text{Reminder: }53$$

Factor

$$\frac{5 \cdot 17 \cdot 41}{2 \cdot 3 \cdot 13} = 44\frac{53}{78} = 44.67948717948718$$