Solve 3435/78

$$\frac { 3435 } { 78 }$$

Evaluate

$$\frac{1145}{26}\approx 44.038461538$$

Steps For Long Division Method

Use the 1^{st} digit 3 from dividend 3435

$$\begin{array}{l}\phantom{78)}\phantom{1}\\78\overline{)3435}\\\end{array}$$

Since 3 is less than 78, use the next digit 4 from dividend 3435 and add 0 to the quotient

$$\begin{array}{l}\phantom{78)}0\phantom{2}\\78\overline{)3435}\\\end{array}$$

Use the 2^{nd} digit 4 from dividend 3435

$$\begin{array}{l}\phantom{78)}0\phantom{3}\\78\overline{)3435}\\\end{array}$$

Since 34 is less than 78, use the next digit 3 from dividend 3435 and add 0 to the quotient

$$\begin{array}{l}\phantom{78)}00\phantom{4}\\78\overline{)3435}\\\end{array}$$

Use the 3^{rd} digit 3 from dividend 3435

$$\begin{array}{l}\phantom{78)}00\phantom{5}\\78\overline{)3435}\\\end{array}$$

Find closest multiple of 78 to 343. We see that 4 \times 78 = 312 is the nearest. Now subtract 312 from 343 to get reminder 31. Add 4 to quotient.

$$\begin{array}{l}\phantom{78)}004\phantom{6}\\78\overline{)3435}\\\phantom{78)}\underline{\phantom{}312\phantom{9}}\\\phantom{78)9}31\\\end{array}$$

Use the 4^{th} digit 5 from dividend 3435

$$\begin{array}{l}\phantom{78)}004\phantom{7}\\78\overline{)3435}\\\phantom{78)}\underline{\phantom{}312\phantom{9}}\\\phantom{78)9}315\\\end{array}$$

Find closest multiple of 78 to 315. We see that 4 \times 78 = 312 is the nearest. Now subtract 312 from 315 to get reminder 3. Add 4 to quotient.

$$\begin{array}{l}\phantom{78)}0044\phantom{8}\\78\overline{)3435}\\\phantom{78)}\underline{\phantom{}312\phantom{9}}\\\phantom{78)9}315\\\phantom{78)}\underline{\phantom{9}312\phantom{}}\\\phantom{78)999}3\\\end{array}$$

Since 3 is less than 78, stop the division. The reminder is 3. The topmost line 0044 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 44.

$$\text{Quotient: }44 \text{Reminder: }3$$

Factor

$$\frac{5 \cdot 229}{2 \cdot 13} = 44\frac{1}{26} = 44.03846153846154$$