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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 557 · 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. 1.11421 ÷ 89 =
  2. 2.78803 ÷ 98 =
  3. 3.36811 ÷ 97 =
  4. 4.119725 ÷ 998 =
  5. 5.68838 ÷ 97 =
  6. 6.176212 ÷ 998 =
  7. 7.791377 ÷ 988 =
  8. 8.793878 ÷ 997 =
  9. 9.2015 ÷ 8 =
  10. 10.57386 ÷ 96 =
  11. 11.32307 ÷ 89 =
  12. 12.283971 ÷ 897 =
  13. 13.5589 ÷ 8 =
  14. 14.79354 ÷ 97 =
  15. 15.76235 ÷ 88 =
  16. 16.8538 ÷ 8 =
  17. 17.564 ÷ 8 =
  18. 18.145783 ÷ 989 =
  19. 19.7051 ÷ 8 =
  20. 20.554287 ÷ 989 =
  21. 21.33652 ÷ 998 =
  22. 22.186338 ÷ 988 =
  23. 23.501387 ÷ 989 =
  24. 24.51384 ÷ 96 =
  25. 25.507548 ÷ 897 =
  26. 26.27514 ÷ 96 =
  27. 27.85977 ÷ 98 =
  28. 28.522516 ÷ 989 =
  29. 29.141468 ÷ 997 =
  30. 30.25269 ÷ 96 =
  31. 31.18729 ÷ 98 =
  32. 32.39097 ÷ 98 =
  33. 33.9460 ÷ 97 =
  34. 34.943006 ÷ 988 =
  35. 35.23622 ÷ 98 =
  36. 36.270798 ÷ 897 =
  37. 37.8760 ÷ 8 =
  38. 38.643307 ÷ 989 =
  39. 39.49657 ÷ 89 =
  40. 40.43349 ÷ 98 =

Answer key

  1. 128 rem 29
  2. 804 rem 11
  3. 379 rem 48
  4. 119 rem 963
  5. 709 rem 65
  6. 176 rem 564
  7. 800 rem 977
  8. 796 rem 266
  9. 251 rem 7
  10. 597 rem 74
  11. 363 rem 0
  12. 316 rem 519
  13. 698 rem 5
  14. 818 rem 8
  15. 866 rem 27
  16. 1067 rem 2
  17. 70 rem 4
  18. 147 rem 400
  19. 881 rem 3
  20. 560 rem 447
  21. 33 rem 718
  22. 188 rem 594
  23. 506 rem 953
  24. 535 rem 24
  25. 565 rem 743
  26. 286 rem 58
  27. 877 rem 31
  28. 528 rem 324
  29. 141 rem 891
  30. 263 rem 21
  31. 191 rem 11
  32. 398 rem 93
  33. 97 rem 51
  34. 954 rem 454
  35. 241 rem 4
  36. 301 rem 801
  37. 1095 rem 0
  38. 650 rem 457
  39. 557 rem 84
  40. 442 rem 33

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