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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 570 · 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. 1.90441 ÷ 89 =
  2. 2.42562 ÷ 88 =
  3. 3.87674 ÷ 97 =
  4. 4.254155 ÷ 988 =
  5. 5.14659 ÷ 97 =
  6. 6.27264 ÷ 96 =
  7. 7.10360 ÷ 97 =
  8. 8.1994 ÷ 8 =
  9. 9.826114 ÷ 998 =
  10. 10.580292 ÷ 897 =
  11. 11.1813 ÷ 96 =
  12. 12.96835 ÷ 89 =
  13. 13.23591 ÷ 89 =
  14. 14.538135 ÷ 988 =
  15. 15.25770 ÷ 98 =
  16. 16.861954 ÷ 997 =
  17. 17.42663 ÷ 97 =
  18. 18.90095 ÷ 97 =
  19. 19.716326 ÷ 989 =
  20. 20.34877 ÷ 89 =
  21. 21.54630 ÷ 97 =
  22. 22.693391 ÷ 998 =
  23. 23.904586 ÷ 989 =
  24. 24.11582 ÷ 88 =
  25. 25.502828 ÷ 998 =
  26. 26.65775 ÷ 98 =
  27. 27.132181 ÷ 998 =
  28. 28.35740 ÷ 98 =
  29. 29.74702 ÷ 96 =
  30. 30.28361 ÷ 997 =
  31. 31.638567 ÷ 998 =
  32. 32.2689 ÷ 8 =
  33. 33.756384 ÷ 897 =
  34. 34.233902 ÷ 998 =
  35. 35.9329 ÷ 98 =
  36. 36.80071 ÷ 97 =
  37. 37.84701 ÷ 97 =
  38. 38.483182 ÷ 897 =
  39. 39.6066 ÷ 8 =
  40. 40.13541 ÷ 98 =

Answer key

  1. 1016 rem 17
  2. 483 rem 58
  3. 903 rem 83
  4. 257 rem 239
  5. 151 rem 12
  6. 284 rem 0
  7. 106 rem 78
  8. 249 rem 2
  9. 827 rem 768
  10. 646 rem 830
  11. 18 rem 85
  12. 1088 rem 3
  13. 265 rem 6
  14. 544 rem 663
  15. 262 rem 94
  16. 864 rem 546
  17. 439 rem 80
  18. 928 rem 79
  19. 724 rem 290
  20. 391 rem 78
  21. 563 rem 19
  22. 694 rem 779
  23. 914 rem 640
  24. 131 rem 54
  25. 503 rem 834
  26. 671 rem 17
  27. 132 rem 445
  28. 364 rem 68
  29. 778 rem 14
  30. 28 rem 445
  31. 639 rem 845
  32. 336 rem 1
  33. 843 rem 213
  34. 234 rem 370
  35. 95 rem 19
  36. 825 rem 46
  37. 873 rem 20
  38. 538 rem 596
  39. 758 rem 2
  40. 138 rem 17

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