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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 361 · 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. 1.944391 ÷ 989 =
  2. 2.98147 ÷ 897 =
  3. 3.2253 ÷ 89 =
  4. 4.67213 ÷ 97 =
  5. 5.9955 ÷ 98 =
  6. 6.243983 ÷ 998 =
  7. 7.54880 ÷ 88 =
  8. 8.952816 ÷ 988 =
  9. 9.592588 ÷ 998 =
  10. 10.263480 ÷ 998 =
  11. 11.75021 ÷ 96 =
  12. 12.97211 ÷ 98 =
  13. 13.68378 ÷ 998 =
  14. 14.1434 ÷ 8 =
  15. 15.53365 ÷ 98 =
  16. 16.20279 ÷ 98 =
  17. 17.533628 ÷ 988 =
  18. 18.399971 ÷ 989 =
  19. 19.98678 ÷ 96 =
  20. 20.76768 ÷ 88 =
  21. 21.84490 ÷ 96 =
  22. 22.85410 ÷ 97 =
  23. 23.468160 ÷ 897 =
  24. 24.9389 ÷ 8 =
  25. 25.23490 ÷ 97 =
  26. 26.20208 ÷ 97 =
  27. 27.11725 ÷ 88 =
  28. 28.85171 ÷ 89 =
  29. 29.985226 ÷ 989 =
  30. 30.257519 ÷ 998 =
  31. 31.34473 ÷ 96 =
  32. 32.666162 ÷ 989 =
  33. 33.15029 ÷ 98 =
  34. 34.186633 ÷ 897 =
  35. 35.4210 ÷ 8 =
  36. 36.861430 ÷ 989 =
  37. 37.534655 ÷ 997 =
  38. 38.78763 ÷ 97 =
  39. 39.439006 ÷ 998 =
  40. 40.300825 ÷ 998 =

Answer key

  1. 954 rem 885
  2. 109 rem 374
  3. 25 rem 28
  4. 692 rem 89
  5. 101 rem 57
  6. 244 rem 471
  7. 623 rem 56
  8. 964 rem 384
  9. 593 rem 774
  10. 264 rem 8
  11. 781 rem 45
  12. 991 rem 93
  13. 68 rem 514
  14. 179 rem 2
  15. 544 rem 53
  16. 206 rem 91
  17. 540 rem 108
  18. 404 rem 415
  19. 1027 rem 86
  20. 872 rem 32
  21. 880 rem 10
  22. 880 rem 50
  23. 521 rem 823
  24. 1173 rem 5
  25. 242 rem 16
  26. 208 rem 32
  27. 133 rem 21
  28. 956 rem 87
  29. 996 rem 182
  30. 258 rem 35
  31. 359 rem 9
  32. 673 rem 565
  33. 153 rem 35
  34. 208 rem 57
  35. 526 rem 2
  36. 871 rem 11
  37. 536 rem 263
  38. 811 rem 96
  39. 439 rem 884
  40. 301 rem 427

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