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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 302 · 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. 1.33630 ÷ 89 =
  2. 2.445258 ÷ 988 =
  3. 3.32442 ÷ 89 =
  4. 4.529325 ÷ 997 =
  5. 5.341198 ÷ 997 =
  6. 6.40854 ÷ 88 =
  7. 7.581864 ÷ 989 =
  8. 8.5899 ÷ 97 =
  9. 9.367 ÷ 8 =
  10. 10.903065 ÷ 997 =
  11. 11.830 ÷ 8 =
  12. 12.542075 ÷ 988 =
  13. 13.111795 ÷ 998 =
  14. 14.10127 ÷ 89 =
  15. 15.147249 ÷ 989 =
  16. 16.43366 ÷ 97 =
  17. 17.489311 ÷ 998 =
  18. 18.896565 ÷ 897 =
  19. 19.26961 ÷ 98 =
  20. 20.17397 ÷ 96 =
  21. 21.307707 ÷ 997 =
  22. 22.120828 ÷ 998 =
  23. 23.186032 ÷ 988 =
  24. 24.66244 ÷ 89 =
  25. 25.407409 ÷ 998 =
  26. 26.28207 ÷ 98 =
  27. 27.94342 ÷ 96 =
  28. 28.11906 ÷ 98 =
  29. 29.616227 ÷ 989 =
  30. 30.968799 ÷ 997 =
  31. 31.184351 ÷ 989 =
  32. 32.567512 ÷ 998 =
  33. 33.607667 ÷ 897 =
  34. 34.50359 ÷ 88 =
  35. 35.2099 ÷ 98 =
  36. 36.2076 ÷ 8 =
  37. 37.10073 ÷ 89 =
  38. 38.625081 ÷ 989 =
  39. 39.90346 ÷ 98 =
  40. 40.824716 ÷ 989 =

Answer key

  1. 377 rem 77
  2. 450 rem 658
  3. 364 rem 46
  4. 530 rem 915
  5. 342 rem 224
  6. 464 rem 22
  7. 588 rem 332
  8. 60 rem 79
  9. 45 rem 7
  10. 905 rem 780
  11. 103 rem 6
  12. 548 rem 651
  13. 112 rem 19
  14. 113 rem 70
  15. 148 rem 877
  16. 447 rem 7
  17. 490 rem 291
  18. 999 rem 462
  19. 275 rem 11
  20. 181 rem 21
  21. 308 rem 631
  22. 121 rem 70
  23. 188 rem 288
  24. 744 rem 28
  25. 408 rem 225
  26. 287 rem 81
  27. 982 rem 70
  28. 121 rem 48
  29. 623 rem 80
  30. 971 rem 712
  31. 186 rem 397
  32. 568 rem 648
  33. 677 rem 398
  34. 572 rem 23
  35. 21 rem 41
  36. 259 rem 4
  37. 113 rem 16
  38. 632 rem 33
  39. 921 rem 88
  40. 833 rem 879

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