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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 263 · 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. 1.368605 ÷ 997 =
  2. 2.676511 ÷ 988 =
  3. 3.99337 ÷ 98 =
  4. 4.56908 ÷ 98 =
  5. 5.70713 ÷ 98 =
  6. 6.75403 ÷ 98 =
  7. 7.51613 ÷ 98 =
  8. 8.80935 ÷ 89 =
  9. 9.44796 ÷ 89 =
  10. 10.3366 ÷ 8 =
  11. 11.291567 ÷ 998 =
  12. 12.91954 ÷ 97 =
  13. 13.17269 ÷ 97 =
  14. 14.10031 ÷ 98 =
  15. 15.35509 ÷ 89 =
  16. 16.48400 ÷ 88 =
  17. 17.125179 ÷ 997 =
  18. 18.79818 ÷ 98 =
  19. 19.134544 ÷ 989 =
  20. 20.371564 ÷ 997 =
  21. 21.53547 ÷ 98 =
  22. 22.12075 ÷ 96 =
  23. 23.473865 ÷ 988 =
  24. 24.60081 ÷ 96 =
  25. 25.241844 ÷ 997 =
  26. 26.523788 ÷ 989 =
  27. 27.829191 ÷ 998 =
  28. 28.87713 ÷ 88 =
  29. 29.603289 ÷ 988 =
  30. 30.13007 ÷ 96 =
  31. 31.60947 ÷ 89 =
  32. 32.64442 ÷ 97 =
  33. 33.80527 ÷ 96 =
  34. 34.66749 ÷ 96 =
  35. 35.72428 ÷ 989 =
  36. 36.966009 ÷ 897 =
  37. 37.85589 ÷ 88 =
  38. 38.186762 ÷ 988 =
  39. 39.7622 ÷ 97 =
  40. 40.13986 ÷ 989 =

Answer key

  1. 369 rem 712
  2. 684 rem 719
  3. 1013 rem 63
  4. 580 rem 68
  5. 721 rem 55
  6. 769 rem 41
  7. 526 rem 65
  8. 909 rem 34
  9. 503 rem 29
  10. 420 rem 6
  11. 292 rem 151
  12. 947 rem 95
  13. 178 rem 3
  14. 102 rem 35
  15. 398 rem 87
  16. 550 rem 0
  17. 125 rem 554
  18. 814 rem 46
  19. 136 rem 40
  20. 372 rem 680
  21. 546 rem 39
  22. 125 rem 75
  23. 479 rem 613
  24. 625 rem 81
  25. 242 rem 570
  26. 529 rem 607
  27. 830 rem 851
  28. 996 rem 65
  29. 610 rem 609
  30. 135 rem 47
  31. 684 rem 71
  32. 664 rem 34
  33. 838 rem 79
  34. 695 rem 29
  35. 73 rem 231
  36. 1076 rem 837
  37. 972 rem 53
  38. 189 rem 30
  39. 78 rem 56
  40. 14 rem 140

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