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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 301 · 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. 1.139460 ÷ 897 =
  2. 2.92972 ÷ 97 =
  3. 3.992610 ÷ 988 =
  4. 4.160897 ÷ 997 =
  5. 5.567847 ÷ 897 =
  6. 6.816306 ÷ 989 =
  7. 7.37118 ÷ 98 =
  8. 8.69471 ÷ 97 =
  9. 9.40604 ÷ 98 =
  10. 10.507334 ÷ 989 =
  11. 11.916379 ÷ 997 =
  12. 12.87184 ÷ 96 =
  13. 13.4719 ÷ 8 =
  14. 14.82663 ÷ 88 =
  15. 15.64650 ÷ 97 =
  16. 16.6350 ÷ 8 =
  17. 17.8501 ÷ 88 =
  18. 18.399151 ÷ 998 =
  19. 19.90416 ÷ 88 =
  20. 20.9530 ÷ 8 =
  21. 21.780403 ÷ 988 =
  22. 22.44977 ÷ 98 =
  23. 23.102320 ÷ 897 =
  24. 24.54324 ÷ 988 =
  25. 25.566621 ÷ 997 =
  26. 26.37015 ÷ 89 =
  27. 27.17754 ÷ 89 =
  28. 28.450470 ÷ 989 =
  29. 29.64644 ÷ 97 =
  30. 30.6274 ÷ 88 =
  31. 31.67362 ÷ 96 =
  32. 32.20064 ÷ 97 =
  33. 33.201438 ÷ 988 =
  34. 34.100798 ÷ 998 =
  35. 35.65608 ÷ 96 =
  36. 36.8531 ÷ 97 =
  37. 37.353247 ÷ 998 =
  38. 38.126246 ÷ 988 =
  39. 39.31904 ÷ 98 =
  40. 40.715893 ÷ 897 =

Answer key

  1. 155 rem 425
  2. 958 rem 46
  3. 1004 rem 658
  4. 161 rem 380
  5. 633 rem 46
  6. 825 rem 381
  7. 378 rem 74
  8. 716 rem 19
  9. 414 rem 32
  10. 512 rem 966
  11. 919 rem 136
  12. 908 rem 16
  13. 589 rem 7
  14. 939 rem 31
  15. 666 rem 48
  16. 793 rem 6
  17. 96 rem 53
  18. 399 rem 949
  19. 1027 rem 40
  20. 1191 rem 2
  21. 789 rem 871
  22. 458 rem 93
  23. 114 rem 62
  24. 54 rem 972
  25. 568 rem 325
  26. 415 rem 80
  27. 199 rem 43
  28. 455 rem 475
  29. 666 rem 42
  30. 71 rem 26
  31. 701 rem 66
  32. 206 rem 82
  33. 203 rem 874
  34. 101 rem 0
  35. 683 rem 40
  36. 87 rem 92
  37. 353 rem 953
  38. 127 rem 770
  39. 325 rem 54
  40. 798 rem 87

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