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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 656 · 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. 1.9319 ÷ 8 =
  2. 2.64178 ÷ 98 =
  3. 3.13944 ÷ 98 =
  4. 4.783760 ÷ 997 =
  5. 5.697350 ÷ 997 =
  6. 6.970438 ÷ 998 =
  7. 7.345651 ÷ 988 =
  8. 8.85987 ÷ 989 =
  9. 9.31357 ÷ 96 =
  10. 10.29830 ÷ 96 =
  11. 11.8566 ÷ 8 =
  12. 12.2334 ÷ 8 =
  13. 13.20412 ÷ 98 =
  14. 14.79619 ÷ 98 =
  15. 15.614326 ÷ 988 =
  16. 16.57704 ÷ 997 =
  17. 17.10367 ÷ 96 =
  18. 18.3271 ÷ 8 =
  19. 19.6551 ÷ 8 =
  20. 20.265688 ÷ 897 =
  21. 21.704205 ÷ 998 =
  22. 22.93493 ÷ 89 =
  23. 23.82663 ÷ 88 =
  24. 24.42768 ÷ 89 =
  25. 25.590512 ÷ 897 =
  26. 26.8071 ÷ 8 =
  27. 27.97868 ÷ 96 =
  28. 28.73933 ÷ 96 =
  29. 29.17729 ÷ 98 =
  30. 30.630006 ÷ 989 =
  31. 31.90888 ÷ 97 =
  32. 32.94966 ÷ 98 =
  33. 33.75169 ÷ 89 =
  34. 34.87028 ÷ 89 =
  35. 35.1873 ÷ 8 =
  36. 36.524364 ÷ 998 =
  37. 37.62890 ÷ 96 =
  38. 38.442596 ÷ 989 =
  39. 39.369759 ÷ 989 =
  40. 40.13932 ÷ 88 =

Answer key

  1. 1164 rem 7
  2. 654 rem 86
  3. 142 rem 28
  4. 786 rem 118
  5. 699 rem 447
  6. 972 rem 382
  7. 349 rem 839
  8. 86 rem 933
  9. 326 rem 61
  10. 310 rem 70
  11. 1070 rem 6
  12. 291 rem 6
  13. 208 rem 28
  14. 812 rem 43
  15. 621 rem 778
  16. 57 rem 875
  17. 107 rem 95
  18. 408 rem 7
  19. 818 rem 7
  20. 296 rem 176
  21. 705 rem 615
  22. 1050 rem 43
  23. 939 rem 31
  24. 480 rem 48
  25. 658 rem 286
  26. 1008 rem 7
  27. 1019 rem 44
  28. 770 rem 13
  29. 180 rem 89
  30. 637 rem 13
  31. 936 rem 96
  32. 969 rem 4
  33. 844 rem 53
  34. 977 rem 75
  35. 234 rem 1
  36. 525 rem 414
  37. 655 rem 10
  38. 447 rem 513
  39. 373 rem 862
  40. 158 rem 28

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