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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 702 · 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. 1.137891 ÷ 998 =
  2. 2.17136 ÷ 97 =
  3. 3.7380 ÷ 8 =
  4. 4.677337 ÷ 998 =
  5. 5.988584 ÷ 997 =
  6. 6.723047 ÷ 997 =
  7. 7.18261 ÷ 97 =
  8. 8.87055 ÷ 96 =
  9. 9.48901 ÷ 97 =
  10. 10.63450 ÷ 98 =
  11. 11.979744 ÷ 897 =
  12. 12.950502 ÷ 989 =
  13. 13.76858 ÷ 97 =
  14. 14.238115 ÷ 897 =
  15. 15.41992 ÷ 897 =
  16. 16.785729 ÷ 897 =
  17. 17.61787 ÷ 96 =
  18. 18.4396 ÷ 8 =
  19. 19.81588 ÷ 89 =
  20. 20.82805 ÷ 88 =
  21. 21.577004 ÷ 998 =
  22. 22.48087 ÷ 98 =
  23. 23.24473 ÷ 98 =
  24. 24.516358 ÷ 989 =
  25. 25.132748 ÷ 897 =
  26. 26.50937 ÷ 89 =
  27. 27.36346 ÷ 97 =
  28. 28.93654 ÷ 88 =
  29. 29.19329 ÷ 989 =
  30. 30.884971 ÷ 897 =
  31. 31.92131 ÷ 97 =
  32. 32.1502 ÷ 8 =
  33. 33.592865 ÷ 998 =
  34. 34.63043 ÷ 97 =
  35. 35.42340 ÷ 96 =
  36. 36.90880 ÷ 96 =
  37. 37.74561 ÷ 96 =
  38. 38.5237 ÷ 97 =
  39. 39.39293 ÷ 97 =
  40. 40.221 ÷ 8 =

Answer key

  1. 138 rem 167
  2. 176 rem 64
  3. 922 rem 4
  4. 678 rem 693
  5. 991 rem 557
  6. 725 rem 222
  7. 188 rem 25
  8. 906 rem 79
  9. 504 rem 13
  10. 647 rem 44
  11. 1092 rem 220
  12. 961 rem 73
  13. 792 rem 34
  14. 265 rem 410
  15. 46 rem 730
  16. 875 rem 854
  17. 643 rem 59
  18. 549 rem 4
  19. 916 rem 64
  20. 940 rem 85
  21. 578 rem 160
  22. 490 rem 67
  23. 249 rem 71
  24. 522 rem 100
  25. 147 rem 889
  26. 572 rem 29
  27. 374 rem 68
  28. 1064 rem 22
  29. 19 rem 538
  30. 986 rem 529
  31. 949 rem 78
  32. 187 rem 6
  33. 594 rem 53
  34. 649 rem 90
  35. 441 rem 4
  36. 946 rem 64
  37. 776 rem 65
  38. 53 rem 96
  39. 405 rem 8
  40. 27 rem 5

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