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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 541 · 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. 1.251900 ÷ 997 =
  2. 2.136921 ÷ 997 =
  3. 3.124174 ÷ 988 =
  4. 4.5187 ÷ 8 =
  5. 5.22631 ÷ 98 =
  6. 6.7877 ÷ 8 =
  7. 7.69927 ÷ 89 =
  8. 8.75091 ÷ 97 =
  9. 9.2147 ÷ 8 =
  10. 10.7219 ÷ 89 =
  11. 11.11992 ÷ 96 =
  12. 12.97354 ÷ 89 =
  13. 13.3957 ÷ 8 =
  14. 14.461548 ÷ 997 =
  15. 15.810335 ÷ 997 =
  16. 16.431888 ÷ 988 =
  17. 17.817947 ÷ 988 =
  18. 18.19256 ÷ 97 =
  19. 19.10983 ÷ 98 =
  20. 20.61158 ÷ 96 =
  21. 21.18390 ÷ 997 =
  22. 22.1670 ÷ 98 =
  23. 23.87627 ÷ 998 =
  24. 24.20443 ÷ 96 =
  25. 25.1349 ÷ 8 =
  26. 26.76532 ÷ 89 =
  27. 27.69910 ÷ 897 =
  28. 28.904108 ÷ 998 =
  29. 29.597294 ÷ 988 =
  30. 30.64964 ÷ 97 =
  31. 31.84908 ÷ 97 =
  32. 32.40172 ÷ 88 =
  33. 33.926951 ÷ 998 =
  34. 34.99149 ÷ 998 =
  35. 35.7187 ÷ 8 =
  36. 36.501259 ÷ 997 =
  37. 37.245306 ÷ 988 =
  38. 38.32812 ÷ 98 =
  39. 39.94664 ÷ 97 =
  40. 40.675168 ÷ 988 =

Answer key

  1. 252 rem 656
  2. 137 rem 332
  3. 125 rem 674
  4. 648 rem 3
  5. 230 rem 91
  6. 984 rem 5
  7. 785 rem 62
  8. 774 rem 13
  9. 268 rem 3
  10. 81 rem 10
  11. 124 rem 88
  12. 1093 rem 77
  13. 494 rem 5
  14. 462 rem 934
  15. 812 rem 771
  16. 437 rem 132
  17. 827 rem 871
  18. 198 rem 50
  19. 112 rem 7
  20. 637 rem 6
  21. 18 rem 444
  22. 17 rem 4
  23. 87 rem 801
  24. 212 rem 91
  25. 168 rem 5
  26. 859 rem 81
  27. 77 rem 841
  28. 905 rem 918
  29. 604 rem 542
  30. 669 rem 71
  31. 875 rem 33
  32. 456 rem 44
  33. 928 rem 807
  34. 99 rem 347
  35. 898 rem 3
  36. 502 rem 765
  37. 248 rem 282
  38. 334 rem 80
  39. 975 rem 89
  40. 683 rem 364

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