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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 691 · 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. 1.858982 ÷ 989 =
  2. 2.21405 ÷ 97 =
  3. 3.4247 ÷ 98 =
  4. 4.333651 ÷ 998 =
  5. 5.20265 ÷ 88 =
  6. 6.238184 ÷ 998 =
  7. 7.451533 ÷ 897 =
  8. 8.88745 ÷ 97 =
  9. 9.151912 ÷ 897 =
  10. 10.20050 ÷ 89 =
  11. 11.7474 ÷ 8 =
  12. 12.889247 ÷ 998 =
  13. 13.170 ÷ 8 =
  14. 14.668925 ÷ 897 =
  15. 15.75186 ÷ 96 =
  16. 16.17482 ÷ 98 =
  17. 17.383818 ÷ 897 =
  18. 18.76226 ÷ 98 =
  19. 19.732639 ÷ 998 =
  20. 20.18348 ÷ 97 =
  21. 21.5351 ÷ 97 =
  22. 22.32101 ÷ 98 =
  23. 23.119250 ÷ 997 =
  24. 24.146368 ÷ 988 =
  25. 25.98797 ÷ 88 =
  26. 26.5090 ÷ 98 =
  27. 27.19591 ÷ 997 =
  28. 28.106727 ÷ 998 =
  29. 29.28878 ÷ 96 =
  30. 30.68624 ÷ 89 =
  31. 31.388914 ÷ 989 =
  32. 32.127286 ÷ 989 =
  33. 33.801522 ÷ 989 =
  34. 34.415884 ÷ 997 =
  35. 35.68288 ÷ 88 =
  36. 36.94891 ÷ 89 =
  37. 37.330282 ÷ 989 =
  38. 38.80658 ÷ 97 =
  39. 39.53724 ÷ 98 =
  40. 40.34166 ÷ 98 =

Answer key

  1. 868 rem 530
  2. 220 rem 65
  3. 43 rem 33
  4. 334 rem 319
  5. 230 rem 25
  6. 238 rem 660
  7. 503 rem 342
  8. 914 rem 87
  9. 169 rem 319
  10. 225 rem 25
  11. 934 rem 2
  12. 891 rem 29
  13. 21 rem 2
  14. 745 rem 660
  15. 783 rem 18
  16. 178 rem 38
  17. 427 rem 799
  18. 777 rem 80
  19. 734 rem 107
  20. 189 rem 15
  21. 55 rem 16
  22. 327 rem 55
  23. 119 rem 607
  24. 148 rem 144
  25. 1122 rem 61
  26. 51 rem 92
  27. 19 rem 648
  28. 106 rem 939
  29. 300 rem 78
  30. 771 rem 5
  31. 393 rem 237
  32. 128 rem 694
  33. 810 rem 432
  34. 417 rem 135
  35. 776 rem 0
  36. 1066 rem 17
  37. 333 rem 945
  38. 831 rem 51
  39. 548 rem 20
  40. 348 rem 62

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