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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 415 · 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. 1.395631 ÷ 997 =
  2. 2.452419 ÷ 998 =
  3. 3.614 ÷ 8 =
  4. 4.223730 ÷ 997 =
  5. 5.82381 ÷ 97 =
  6. 6.8702 ÷ 8 =
  7. 7.208126 ÷ 897 =
  8. 8.218524 ÷ 988 =
  9. 9.20724 ÷ 98 =
  10. 10.21008 ÷ 89 =
  11. 11.1286 ÷ 8 =
  12. 12.834712 ÷ 998 =
  13. 13.28514 ÷ 96 =
  14. 14.6556 ÷ 8 =
  15. 15.83284 ÷ 97 =
  16. 16.70138 ÷ 88 =
  17. 17.34984 ÷ 897 =
  18. 18.11224 ÷ 96 =
  19. 19.98759 ÷ 97 =
  20. 20.328916 ÷ 988 =
  21. 21.6342 ÷ 96 =
  22. 22.5231 ÷ 8 =
  23. 23.14196 ÷ 988 =
  24. 24.99521 ÷ 97 =
  25. 25.90811 ÷ 97 =
  26. 26.990900 ÷ 897 =
  27. 27.32556 ÷ 89 =
  28. 28.952492 ÷ 989 =
  29. 29.16461 ÷ 96 =
  30. 30.803254 ÷ 998 =
  31. 31.11944 ÷ 98 =
  32. 32.93211 ÷ 96 =
  33. 33.29378 ÷ 89 =
  34. 34.832059 ÷ 897 =
  35. 35.488302 ÷ 988 =
  36. 36.463872 ÷ 997 =
  37. 37.995182 ÷ 988 =
  38. 38.61416 ÷ 88 =
  39. 39.668872 ÷ 989 =
  40. 40.80233 ÷ 98 =

Answer key

  1. 396 rem 819
  2. 453 rem 325
  3. 76 rem 6
  4. 224 rem 402
  5. 849 rem 28
  6. 1087 rem 6
  7. 232 rem 22
  8. 221 rem 176
  9. 211 rem 46
  10. 236 rem 4
  11. 160 rem 6
  12. 836 rem 384
  13. 297 rem 2
  14. 819 rem 4
  15. 858 rem 58
  16. 797 rem 2
  17. 39 rem 1
  18. 116 rem 88
  19. 1018 rem 13
  20. 332 rem 900
  21. 66 rem 6
  22. 653 rem 7
  23. 14 rem 364
  24. 1025 rem 96
  25. 936 rem 19
  26. 1104 rem 612
  27. 365 rem 71
  28. 963 rem 85
  29. 171 rem 45
  30. 804 rem 862
  31. 121 rem 86
  32. 970 rem 91
  33. 330 rem 8
  34. 927 rem 540
  35. 494 rem 230
  36. 465 rem 267
  37. 1007 rem 266
  38. 697 rem 80
  39. 676 rem 308
  40. 818 rem 69

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