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\begin{array}{l}\phantom{100)}\phantom{1}\\100\overline{)5150}\\\end{array}
Use the 1^{st} digit 5 from dividend 5150
\begin{array}{l}\phantom{100)}0\phantom{2}\\100\overline{)5150}\\\end{array}
Since 5 is less than 100, use the next digit 1 from dividend 5150 and add 0 to the quotient
\begin{array}{l}\phantom{100)}0\phantom{3}\\100\overline{)5150}\\\end{array}
Use the 2^{nd} digit 1 from dividend 5150
\begin{array}{l}\phantom{100)}00\phantom{4}\\100\overline{)5150}\\\end{array}
Since 51 is less than 100, use the next digit 5 from dividend 5150 and add 0 to the quotient
\begin{array}{l}\phantom{100)}00\phantom{5}\\100\overline{)5150}\\\end{array}
Use the 3^{rd} digit 5 from dividend 5150
\begin{array}{l}\phantom{100)}005\phantom{6}\\100\overline{)5150}\\\phantom{100)}\underline{\phantom{}500\phantom{9}}\\\phantom{100)9}15\\\end{array}
Find closest multiple of 100 to 515. We see that 5 \times 100 = 500 is the nearest. Now subtract 500 from 515 to get reminder 15. Add 5 to quotient.
\begin{array}{l}\phantom{100)}005\phantom{7}\\100\overline{)5150}\\\phantom{100)}\underline{\phantom{}500\phantom{9}}\\\phantom{100)9}150\\\end{array}
Use the 4^{th} digit 0 from dividend 5150
\begin{array}{l}\phantom{100)}0051\phantom{8}\\100\overline{)5150}\\\phantom{100)}\underline{\phantom{}500\phantom{9}}\\\phantom{100)9}150\\\phantom{100)}\underline{\phantom{9}100\phantom{}}\\\phantom{100)99}50\\\end{array}
Find closest multiple of 100 to 150. We see that 1 \times 100 = 100 is the nearest. Now subtract 100 from 150 to get reminder 50. Add 1 to quotient.
\text{Quotient: }51 \text{Reminder: }50
Since 50 is less than 100, stop the division. The reminder is 50. The topmost line 0051 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 51.