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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 224 · 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. 1.17673 ÷ 98 =
  2. 2.47796 ÷ 89 =
  3. 3.98263 ÷ 97 =
  4. 4.50374 ÷ 89 =
  5. 5.9764 ÷ 97 =
  6. 6.762034 ÷ 897 =
  7. 7.85083 ÷ 89 =
  8. 8.38276 ÷ 98 =
  9. 9.50858 ÷ 98 =
  10. 10.39186 ÷ 89 =
  11. 11.210874 ÷ 997 =
  12. 12.706338 ÷ 989 =
  13. 13.339972 ÷ 988 =
  14. 14.788567 ÷ 997 =
  15. 15.86925 ÷ 88 =
  16. 16.70602 ÷ 997 =
  17. 17.210618 ÷ 998 =
  18. 18.1989 ÷ 8 =
  19. 19.195505 ÷ 988 =
  20. 20.593658 ÷ 897 =
  21. 21.40359 ÷ 98 =
  22. 22.539829 ÷ 997 =
  23. 23.95433 ÷ 97 =
  24. 24.35120 ÷ 97 =
  25. 25.15589 ÷ 89 =
  26. 26.90301 ÷ 88 =
  27. 27.942286 ÷ 989 =
  28. 28.118539 ÷ 988 =
  29. 29.798725 ÷ 989 =
  30. 30.99605 ÷ 96 =
  31. 31.43583 ÷ 89 =
  32. 32.231146 ÷ 998 =
  33. 33.79782 ÷ 89 =
  34. 34.414096 ÷ 997 =
  35. 35.97934 ÷ 88 =
  36. 36.5667 ÷ 98 =
  37. 37.729340 ÷ 897 =
  38. 38.443102 ÷ 998 =
  39. 39.108326 ÷ 988 =
  40. 40.28005 ÷ 998 =

Answer key

  1. 180 rem 33
  2. 537 rem 3
  3. 1013 rem 2
  4. 566 rem 0
  5. 100 rem 64
  6. 849 rem 481
  7. 955 rem 88
  8. 390 rem 56
  9. 518 rem 94
  10. 440 rem 26
  11. 211 rem 507
  12. 714 rem 192
  13. 344 rem 100
  14. 790 rem 937
  15. 987 rem 69
  16. 70 rem 812
  17. 211 rem 40
  18. 248 rem 5
  19. 197 rem 869
  20. 661 rem 741
  21. 411 rem 81
  22. 541 rem 452
  23. 983 rem 82
  24. 362 rem 6
  25. 175 rem 14
  26. 1026 rem 13
  27. 952 rem 758
  28. 119 rem 967
  29. 807 rem 602
  30. 1037 rem 53
  31. 489 rem 62
  32. 231 rem 608
  33. 896 rem 38
  34. 415 rem 341
  35. 1112 rem 78
  36. 57 rem 81
  37. 813 rem 79
  38. 443 rem 988
  39. 109 rem 634
  40. 28 rem 61

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