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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 641 · 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. 1.31415 ÷ 89 =
  2. 2.71711 ÷ 98 =
  3. 3.88058 ÷ 89 =
  4. 4.92496 ÷ 98 =
  5. 5.13048 ÷ 96 =
  6. 6.31107 ÷ 97 =
  7. 7.58373 ÷ 88 =
  8. 8.757295 ÷ 897 =
  9. 9.238833 ÷ 897 =
  10. 10.3161 ÷ 8 =
  11. 11.6248 ÷ 8 =
  12. 12.327218 ÷ 897 =
  13. 13.521870 ÷ 997 =
  14. 14.28009 ÷ 98 =
  15. 15.21863 ÷ 897 =
  16. 16.88450 ÷ 96 =
  17. 17.20115 ÷ 88 =
  18. 18.171975 ÷ 989 =
  19. 19.419135 ÷ 897 =
  20. 20.13910 ÷ 96 =
  21. 21.612396 ÷ 998 =
  22. 22.502551 ÷ 989 =
  23. 23.663476 ÷ 997 =
  24. 24.319659 ÷ 897 =
  25. 25.23194 ÷ 89 =
  26. 26.3339 ÷ 8 =
  27. 27.439388 ÷ 998 =
  28. 28.913794 ÷ 988 =
  29. 29.313288 ÷ 989 =
  30. 30.576883 ÷ 988 =
  31. 31.82138 ÷ 98 =
  32. 32.65412 ÷ 98 =
  33. 33.5215 ÷ 8 =
  34. 34.63602 ÷ 98 =
  35. 35.8001 ÷ 8 =
  36. 36.21453 ÷ 98 =
  37. 37.591786 ÷ 998 =
  38. 38.298 ÷ 8 =
  39. 39.9680 ÷ 8 =
  40. 40.3566 ÷ 8 =

Answer key

  1. 352 rem 87
  2. 731 rem 73
  3. 989 rem 37
  4. 943 rem 82
  5. 135 rem 88
  6. 320 rem 67
  7. 663 rem 29
  8. 844 rem 227
  9. 266 rem 231
  10. 395 rem 1
  11. 781 rem 0
  12. 364 rem 710
  13. 523 rem 439
  14. 285 rem 79
  15. 24 rem 335
  16. 921 rem 34
  17. 228 rem 51
  18. 173 rem 878
  19. 467 rem 236
  20. 144 rem 86
  21. 613 rem 622
  22. 508 rem 139
  23. 665 rem 471
  24. 356 rem 327
  25. 260 rem 54
  26. 417 rem 3
  27. 440 rem 268
  28. 924 rem 882
  29. 316 rem 764
  30. 583 rem 879
  31. 838 rem 14
  32. 667 rem 46
  33. 651 rem 7
  34. 649 rem 0
  35. 1000 rem 1
  36. 218 rem 89
  37. 592 rem 970
  38. 37 rem 2
  39. 1210 rem 0
  40. 445 rem 6

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