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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 875 · 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. 1.68622 ÷ 88 =
  2. 2.55467 ÷ 88 =
  3. 3.830821 ÷ 897 =
  4. 4.3033 ÷ 8 =
  5. 5.277239 ÷ 897 =
  6. 6.5332 ÷ 8 =
  7. 7.59514 ÷ 96 =
  8. 8.356987 ÷ 997 =
  9. 9.17866 ÷ 96 =
  10. 10.32981 ÷ 88 =
  11. 11.379815 ÷ 998 =
  12. 12.15084 ÷ 89 =
  13. 13.68072 ÷ 96 =
  14. 14.205620 ÷ 897 =
  15. 15.768772 ÷ 997 =
  16. 16.652161 ÷ 998 =
  17. 17.185256 ÷ 998 =
  18. 18.25141 ÷ 89 =
  19. 19.41635 ÷ 89 =
  20. 20.41036 ÷ 98 =
  21. 21.49572 ÷ 89 =
  22. 22.1452 ÷ 8 =
  23. 23.44027 ÷ 96 =
  24. 24.33566 ÷ 88 =
  25. 25.333434 ÷ 988 =
  26. 26.302037 ÷ 989 =
  27. 27.647835 ÷ 989 =
  28. 28.820870 ÷ 988 =
  29. 29.725075 ÷ 989 =
  30. 30.68783 ÷ 88 =
  31. 31.303317 ÷ 989 =
  32. 32.65934 ÷ 98 =
  33. 33.810648 ÷ 897 =
  34. 34.52725 ÷ 97 =
  35. 35.169273 ÷ 998 =
  36. 36.437062 ÷ 998 =
  37. 37.111503 ÷ 998 =
  38. 38.171212 ÷ 988 =
  39. 39.136911 ÷ 989 =
  40. 40.335628 ÷ 988 =

Answer key

  1. 779 rem 70
  2. 630 rem 27
  3. 926 rem 199
  4. 379 rem 1
  5. 309 rem 66
  6. 666 rem 4
  7. 619 rem 90
  8. 358 rem 61
  9. 186 rem 10
  10. 374 rem 69
  11. 380 rem 575
  12. 169 rem 43
  13. 709 rem 8
  14. 229 rem 207
  15. 771 rem 85
  16. 653 rem 467
  17. 185 rem 626
  18. 282 rem 43
  19. 467 rem 72
  20. 418 rem 72
  21. 556 rem 88
  22. 181 rem 4
  23. 458 rem 59
  24. 381 rem 38
  25. 337 rem 478
  26. 305 rem 392
  27. 655 rem 40
  28. 830 rem 830
  29. 733 rem 138
  30. 781 rem 55
  31. 306 rem 683
  32. 672 rem 78
  33. 903 rem 657
  34. 543 rem 54
  35. 169 rem 611
  36. 437 rem 936
  37. 111 rem 725
  38. 173 rem 288
  39. 138 rem 429
  40. 339 rem 696

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