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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 817 · 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. 1.314752 ÷ 897 =
  2. 2.344301 ÷ 897 =
  3. 3.49004 ÷ 97 =
  4. 4.492890 ÷ 997 =
  5. 5.205379 ÷ 997 =
  6. 6.701455 ÷ 998 =
  7. 7.9506 ÷ 8 =
  8. 8.204961 ÷ 997 =
  9. 9.20543 ÷ 88 =
  10. 10.345810 ÷ 989 =
  11. 11.592427 ÷ 997 =
  12. 12.2136 ÷ 8 =
  13. 13.3507 ÷ 97 =
  14. 14.942374 ÷ 988 =
  15. 15.1439 ÷ 8 =
  16. 16.8057 ÷ 97 =
  17. 17.2223 ÷ 98 =
  18. 18.296013 ÷ 989 =
  19. 19.49397 ÷ 98 =
  20. 20.1580 ÷ 8 =
  21. 21.19577 ÷ 97 =
  22. 22.708429 ÷ 997 =
  23. 23.926226 ÷ 998 =
  24. 24.7669 ÷ 8 =
  25. 25.8587 ÷ 88 =
  26. 26.926916 ÷ 989 =
  27. 27.826900 ÷ 988 =
  28. 28.221571 ÷ 897 =
  29. 29.253892 ÷ 989 =
  30. 30.32988 ÷ 88 =
  31. 31.2123 ÷ 96 =
  32. 32.860985 ÷ 989 =
  33. 33.829143 ÷ 989 =
  34. 34.95786 ÷ 89 =
  35. 35.954477 ÷ 997 =
  36. 36.39555 ÷ 96 =
  37. 37.704250 ÷ 997 =
  38. 38.426820 ÷ 988 =
  39. 39.83182 ÷ 96 =
  40. 40.548466 ÷ 988 =

Answer key

  1. 350 rem 802
  2. 383 rem 750
  3. 505 rem 19
  4. 494 rem 372
  5. 205 rem 994
  6. 702 rem 859
  7. 1188 rem 2
  8. 205 rem 576
  9. 233 rem 39
  10. 349 rem 649
  11. 594 rem 209
  12. 267 rem 0
  13. 36 rem 15
  14. 953 rem 810
  15. 179 rem 7
  16. 83 rem 6
  17. 22 rem 67
  18. 299 rem 302
  19. 504 rem 5
  20. 197 rem 4
  21. 201 rem 80
  22. 710 rem 559
  23. 928 rem 82
  24. 958 rem 5
  25. 97 rem 51
  26. 937 rem 223
  27. 836 rem 932
  28. 247 rem 12
  29. 256 rem 708
  30. 374 rem 76
  31. 22 rem 11
  32. 870 rem 555
  33. 838 rem 361
  34. 1076 rem 22
  35. 957 rem 348
  36. 412 rem 3
  37. 706 rem 368
  38. 432 rem 4
  39. 866 rem 46
  40. 555 rem 126

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