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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 219 · 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. 1.555064 ÷ 988 =
  2. 2.52830 ÷ 98 =
  3. 3.27312 ÷ 97 =
  4. 4.147896 ÷ 988 =
  5. 5.11477 ÷ 998 =
  6. 6.765316 ÷ 897 =
  7. 7.507950 ÷ 988 =
  8. 8.79461 ÷ 98 =
  9. 9.224269 ÷ 998 =
  10. 10.73770 ÷ 88 =
  11. 11.311397 ÷ 989 =
  12. 12.611886 ÷ 997 =
  13. 13.729632 ÷ 897 =
  14. 14.110846 ÷ 998 =
  15. 15.48168 ÷ 88 =
  16. 16.40682 ÷ 97 =
  17. 17.36407 ÷ 98 =
  18. 18.365190 ÷ 998 =
  19. 19.51113 ÷ 98 =
  20. 20.264772 ÷ 989 =
  21. 21.80068 ÷ 98 =
  22. 22.81590 ÷ 98 =
  23. 23.386519 ÷ 897 =
  24. 24.46066 ÷ 89 =
  25. 25.9412 ÷ 8 =
  26. 26.93245 ÷ 96 =
  27. 27.2730 ÷ 8 =
  28. 28.621681 ÷ 998 =
  29. 29.32056 ÷ 97 =
  30. 30.236295 ÷ 998 =
  31. 31.67231 ÷ 88 =
  32. 32.17288 ÷ 89 =
  33. 33.2740 ÷ 97 =
  34. 34.3360 ÷ 8 =
  35. 35.439686 ÷ 997 =
  36. 36.55918 ÷ 97 =
  37. 37.59209 ÷ 89 =
  38. 38.77268 ÷ 897 =
  39. 39.233244 ÷ 997 =
  40. 40.1580 ÷ 8 =

Answer key

  1. 561 rem 796
  2. 539 rem 8
  3. 281 rem 55
  4. 149 rem 684
  5. 11 rem 499
  6. 853 rem 175
  7. 514 rem 118
  8. 810 rem 81
  9. 224 rem 717
  10. 838 rem 26
  11. 314 rem 851
  12. 613 rem 725
  13. 813 rem 371
  14. 111 rem 68
  15. 547 rem 32
  16. 419 rem 39
  17. 371 rem 49
  18. 365 rem 920
  19. 521 rem 55
  20. 267 rem 709
  21. 817 rem 2
  22. 832 rem 54
  23. 430 rem 809
  24. 517 rem 53
  25. 1176 rem 4
  26. 971 rem 29
  27. 341 rem 2
  28. 622 rem 925
  29. 330 rem 46
  30. 236 rem 767
  31. 763 rem 87
  32. 194 rem 22
  33. 28 rem 24
  34. 420 rem 0
  35. 441 rem 9
  36. 576 rem 46
  37. 665 rem 24
  38. 86 rem 126
  39. 233 rem 943
  40. 197 rem 4

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