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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 814 · 40 sums
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The trick (Nikhilam Navatashcaramam Dashatah): Write the complement of the divisor (8 → 2, 97 → 03, 88 → 12, 997 → 003, 897 → 103). Split off as many last digits as the base has zeros (1 for 8, 2 for 88, 3 for 997) — that is the remainder part. Bring down each column total, multiply it by the complement, and add the result under the next column(s). If the remainder is not smaller than the divisor, divide it again and add to the quotient.

NameDateTime takenScore ___ / 40
  1. 1.5984 ÷ 8 =
  2. 2.52181 ÷ 89 =
  3. 3.80063 ÷ 89 =
  4. 4.56279 ÷ 96 =
  5. 5.908043 ÷ 998 =
  6. 6.634100 ÷ 997 =
  7. 7.6067 ÷ 8 =
  8. 8.1519 ÷ 8 =
  9. 9.11120 ÷ 88 =
  10. 10.71059 ÷ 98 =
  11. 11.9153 ÷ 8 =
  12. 12.30405 ÷ 98 =
  13. 13.31884 ÷ 88 =
  14. 14.1628 ÷ 98 =
  15. 15.459 ÷ 8 =
  16. 16.53886 ÷ 89 =
  17. 17.247274 ÷ 998 =
  18. 18.86421 ÷ 96 =
  19. 19.385317 ÷ 897 =
  20. 20.153426 ÷ 997 =
  21. 21.3262 ÷ 8 =
  22. 22.915872 ÷ 997 =
  23. 23.50920 ÷ 98 =
  24. 24.91178 ÷ 96 =
  25. 25.93316 ÷ 89 =
  26. 26.23318 ÷ 97 =
  27. 27.70920 ÷ 88 =
  28. 28.175539 ÷ 988 =
  29. 29.690204 ÷ 988 =
  30. 30.6613 ÷ 97 =
  31. 31.781492 ÷ 997 =
  32. 32.904418 ÷ 988 =
  33. 33.87388 ÷ 96 =
  34. 34.82247 ÷ 89 =
  35. 35.1206 ÷ 8 =
  36. 36.658076 ÷ 988 =
  37. 37.869951 ÷ 897 =
  38. 38.4085 ÷ 98 =
  39. 39.963563 ÷ 897 =
  40. 40.18717 ÷ 98 =

Answer key

  1. 748 rem 0
  2. 586 rem 27
  3. 899 rem 52
  4. 586 rem 23
  5. 909 rem 861
  6. 636 rem 8
  7. 758 rem 3
  8. 189 rem 7
  9. 126 rem 32
  10. 725 rem 9
  11. 1144 rem 1
  12. 310 rem 25
  13. 362 rem 28
  14. 16 rem 60
  15. 57 rem 3
  16. 605 rem 41
  17. 247 rem 768
  18. 900 rem 21
  19. 429 rem 504
  20. 153 rem 885
  21. 407 rem 6
  22. 918 rem 626
  23. 519 rem 58
  24. 949 rem 74
  25. 1048 rem 44
  26. 240 rem 38
  27. 805 rem 80
  28. 177 rem 663
  29. 698 rem 580
  30. 68 rem 17
  31. 783 rem 841
  32. 915 rem 398
  33. 910 rem 28
  34. 924 rem 11
  35. 150 rem 6
  36. 666 rem 68
  37. 969 rem 758
  38. 41 rem 67
  39. 1074 rem 185
  40. 190 rem 97

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