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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 700 · 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. 1.425805 ÷ 998 =
  2. 2.963 ÷ 8 =
  3. 3.42857 ÷ 98 =
  4. 4.26075 ÷ 98 =
  5. 5.283810 ÷ 998 =
  6. 6.914251 ÷ 998 =
  7. 7.2859 ÷ 8 =
  8. 8.12819 ÷ 89 =
  9. 9.34695 ÷ 89 =
  10. 10.7467 ÷ 8 =
  11. 11.70065 ÷ 96 =
  12. 12.13707 ÷ 89 =
  13. 13.819325 ÷ 989 =
  14. 14.860560 ÷ 989 =
  15. 15.753436 ÷ 988 =
  16. 16.58345 ÷ 96 =
  17. 17.547289 ÷ 997 =
  18. 18.469682 ÷ 998 =
  19. 19.4032 ÷ 8 =
  20. 20.4750 ÷ 88 =
  21. 21.896291 ÷ 988 =
  22. 22.280397 ÷ 988 =
  23. 23.251713 ÷ 989 =
  24. 24.162628 ÷ 998 =
  25. 25.36280 ÷ 88 =
  26. 26.49156 ÷ 98 =
  27. 27.21068 ÷ 89 =
  28. 28.938508 ÷ 997 =
  29. 29.7534 ÷ 8 =
  30. 30.350218 ÷ 988 =
  31. 31.196319 ÷ 988 =
  32. 32.63502 ÷ 88 =
  33. 33.67879 ÷ 98 =
  34. 34.40202 ÷ 98 =
  35. 35.43286 ÷ 89 =
  36. 36.75511 ÷ 88 =
  37. 37.22005 ÷ 89 =
  38. 38.6046 ÷ 89 =
  39. 39.224397 ÷ 998 =
  40. 40.89112 ÷ 98 =

Answer key

  1. 426 rem 657
  2. 120 rem 3
  3. 437 rem 31
  4. 266 rem 7
  5. 284 rem 378
  6. 916 rem 83
  7. 357 rem 3
  8. 144 rem 3
  9. 389 rem 74
  10. 933 rem 3
  11. 729 rem 81
  12. 154 rem 1
  13. 828 rem 433
  14. 870 rem 130
  15. 762 rem 580
  16. 607 rem 73
  17. 548 rem 933
  18. 470 rem 622
  19. 504 rem 0
  20. 53 rem 86
  21. 907 rem 175
  22. 283 rem 793
  23. 254 rem 507
  24. 162 rem 952
  25. 412 rem 24
  26. 501 rem 58
  27. 236 rem 64
  28. 941 rem 331
  29. 941 rem 6
  30. 354 rem 466
  31. 198 rem 695
  32. 721 rem 54
  33. 692 rem 63
  34. 410 rem 22
  35. 486 rem 32
  36. 858 rem 7
  37. 247 rem 22
  38. 67 rem 83
  39. 224 rem 845
  40. 909 rem 30

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