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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 754 · 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. 1.72942 ÷ 998 =
  2. 2.60140 ÷ 98 =
  3. 3.62884 ÷ 97 =
  4. 4.51995 ÷ 98 =
  5. 5.89514 ÷ 97 =
  6. 6.2954 ÷ 88 =
  7. 7.37145 ÷ 96 =
  8. 8.49161 ÷ 96 =
  9. 9.241846 ÷ 989 =
  10. 10.888690 ÷ 997 =
  11. 11.3756 ÷ 8 =
  12. 12.65225 ÷ 98 =
  13. 13.15239 ÷ 89 =
  14. 14.570382 ÷ 897 =
  15. 15.54680 ÷ 97 =
  16. 16.368365 ÷ 988 =
  17. 17.41731 ÷ 88 =
  18. 18.105289 ÷ 998 =
  19. 19.11618 ÷ 97 =
  20. 20.35664 ÷ 89 =
  21. 21.39291 ÷ 89 =
  22. 22.252670 ÷ 897 =
  23. 23.47166 ÷ 98 =
  24. 24.96300 ÷ 96 =
  25. 25.65974 ÷ 89 =
  26. 26.987760 ÷ 988 =
  27. 27.486592 ÷ 997 =
  28. 28.37724 ÷ 89 =
  29. 29.426406 ÷ 897 =
  30. 30.25493 ÷ 89 =
  31. 31.583987 ÷ 998 =
  32. 32.2003 ÷ 8 =
  33. 33.41232 ÷ 97 =
  34. 34.956380 ÷ 897 =
  35. 35.970209 ÷ 988 =
  36. 36.636674 ÷ 897 =
  37. 37.63041 ÷ 89 =
  38. 38.7795 ÷ 98 =
  39. 39.324455 ÷ 897 =
  40. 40.414054 ÷ 989 =

Answer key

  1. 73 rem 88
  2. 613 rem 66
  3. 648 rem 28
  4. 530 rem 55
  5. 922 rem 80
  6. 33 rem 50
  7. 386 rem 89
  8. 512 rem 9
  9. 244 rem 530
  10. 891 rem 363
  11. 469 rem 4
  12. 665 rem 55
  13. 171 rem 20
  14. 635 rem 787
  15. 563 rem 69
  16. 372 rem 829
  17. 474 rem 19
  18. 105 rem 499
  19. 119 rem 75
  20. 400 rem 64
  21. 441 rem 42
  22. 281 rem 613
  23. 481 rem 28
  24. 1003 rem 12
  25. 741 rem 25
  26. 999 rem 748
  27. 488 rem 56
  28. 423 rem 77
  29. 475 rem 331
  30. 286 rem 39
  31. 585 rem 157
  32. 250 rem 3
  33. 425 rem 7
  34. 1066 rem 178
  35. 981 rem 981
  36. 709 rem 701
  37. 708 rem 29
  38. 79 rem 53
  39. 361 rem 638
  40. 418 rem 652

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