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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 789 · 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. 1.4862 ÷ 8 =
  2. 2.17583 ÷ 98 =
  3. 3.702887 ÷ 998 =
  4. 4.54023 ÷ 89 =
  5. 5.962712 ÷ 997 =
  6. 6.40312 ÷ 998 =
  7. 7.26299 ÷ 88 =
  8. 8.809018 ÷ 988 =
  9. 9.64790 ÷ 96 =
  10. 10.96359 ÷ 88 =
  11. 11.3504 ÷ 8 =
  12. 12.74969 ÷ 88 =
  13. 13.117958 ÷ 998 =
  14. 14.74984 ÷ 88 =
  15. 15.842532 ÷ 988 =
  16. 16.39327 ÷ 96 =
  17. 17.76431 ÷ 998 =
  18. 18.337573 ÷ 897 =
  19. 19.300067 ÷ 897 =
  20. 20.546440 ÷ 997 =
  21. 21.183513 ÷ 988 =
  22. 22.2399 ÷ 8 =
  23. 23.27287 ÷ 98 =
  24. 24.47582 ÷ 97 =
  25. 25.27854 ÷ 96 =
  26. 26.4299 ÷ 8 =
  27. 27.95610 ÷ 98 =
  28. 28.26668 ÷ 96 =
  29. 29.77159 ÷ 88 =
  30. 30.95791 ÷ 98 =
  31. 31.14676 ÷ 89 =
  32. 32.663965 ÷ 998 =
  33. 33.770137 ÷ 897 =
  34. 34.7757 ÷ 8 =
  35. 35.79159 ÷ 96 =
  36. 36.1999 ÷ 89 =
  37. 37.46808 ÷ 988 =
  38. 38.36511 ÷ 97 =
  39. 39.73049 ÷ 88 =
  40. 40.28446 ÷ 98 =

Answer key

  1. 607 rem 6
  2. 179 rem 41
  3. 704 rem 295
  4. 607 rem 0
  5. 965 rem 607
  6. 40 rem 392
  7. 298 rem 75
  8. 818 rem 834
  9. 674 rem 86
  10. 1094 rem 87
  11. 438 rem 0
  12. 851 rem 81
  13. 118 rem 194
  14. 852 rem 8
  15. 852 rem 756
  16. 409 rem 63
  17. 76 rem 583
  18. 376 rem 301
  19. 334 rem 469
  20. 548 rem 84
  21. 185 rem 733
  22. 299 rem 7
  23. 278 rem 43
  24. 490 rem 52
  25. 290 rem 14
  26. 537 rem 3
  27. 975 rem 60
  28. 277 rem 76
  29. 876 rem 71
  30. 977 rem 45
  31. 164 rem 80
  32. 665 rem 295
  33. 858 rem 511
  34. 969 rem 5
  35. 824 rem 55
  36. 22 rem 41
  37. 47 rem 372
  38. 376 rem 39
  39. 830 rem 9
  40. 290 rem 26

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